Atakishiyev , Natig

Semblanza

Funciones especiales y su interpretación algebraica.

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Publicaciones

2019 - Atakishiyev, Natig M. and Pogosyan, George S. and Wolf, Kurt Bernardo and Yakhno, Alexander (ver en línea)
Spherical geometry, {Z}ernike's separability, and interbasis expansion coefficients.
Journal of Mathematical Physics, 101701, 12

2018 - Atakishiyev, Natig M. and Pogosyan, George S. and Salto-Alegre, Cristina and Wolf, Kurt Bernardo and Yakhno, Alexander (ver en línea)
The superintegrable {Z}ernike system.
Quantum theory and symmetries with {L}ie theory and its applications in physics. {V}ol. 1, 263--273

2018 - Atakishiyev, Natig M. and Pogosyan, George S. and Wolf, Kurt Bernardo and Yakhno, Alexander (ver en línea)
Elliptic basis for the {Z}ernike system: {H}eun function solutions.
Journal of Mathematical Physics, 073503, 15

2017 - Atakishiyev, Natig M. and Pogosyan, George S. and Wolf, Kurt Bernardo and Yakhno, Alexander (ver en línea)
Interbasis expansions in the {Z}ernike system.
Journal of Mathematical Physics, 103505, 20

2016 - Atakishiyeva, M. K. and Atakishiyev, N. M. and Franco, J. M\'{e}ndez (ver en línea)
On a discrete number operator associated with the 5{D} discrete {F}ourier transform.
Differential and difference equations with applications, 273--292

2016 - Atakishiyeva, Mesuma K. and Atakishiyev, Natig M.
On algebraic properties of the discrete raising and lowering operators, associated with the {$N$}-dimensional discrete {F}ourier transform.
Advances in Dynamical Systems and Applications, 81--92

2015 - Area, Iv\'{a}n and Atakishiyev, Natig and Godoy, Eduardo and Wolf, Kurt Bernardo (ver en línea)
Bivariate raising and lowering differential operators for eigenfunctions of a 2{D} {F}ourier transform.
Journal of Physics. A. Mathematical and Theoretical, 075201, 12

2015 - Atakishiyeva, Mesuma K. and Atakishiyev, Natig M. and Wolf, Kurt Bernardo (ver en línea)
Kravchuk polynomials and irreducible representations of the rotation group {$SO(3)$}.
Bolet\'{\i}n de la Sociedad Matem\'{a}tica Mexicana. Third Series, 27--37

2014 - Atakishiyev, Natig M. and Jafarov, Elchin I. and Jafarova, Aynura M. and Van der Jeugt, J.
The {H}usimi distribution function and superposition of {$Q$}-harmonic oscillator stationary states.
Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences, 147--156

2014 - Atakishiyev, Natig M. and Jafarova, Aynura M. and Jafarov, Elchin I. (ver en línea)
Meixner polynomials and representations of the 3{D} {L}orentz group {$\rm SO(2,1)$}.
Communications in Mathematical Analysis, 14--23

2013 - Area, I. and Atakishiyev, N. and Godoy, E. and Rodal, J. (ver en línea)
Linear partial {$q$}-difference equations on {$q$}-linear lattices and their bivariate {$q$}-orthogonal polynomial solutions.
Applied Mathematics and Computation, 520--536

2013 - Atakishiyeva, Mesuma and Atakishiyev, Natig
On discrete {$q$}-extensions of {C}hebyshev polynomials.
Communications in Mathematical Analysis, 1--12

2012 - Atakishiyev, Natig and Franco, Pedro and Levi, Decio and Ragnisco, Orlando (ver en línea)
On {F}ourier integral transforms for {$q$}-{F}ibonacci and {$q$}-{L}ucas polynomials.
Journal of Physics. A. Mathematical and Theoretical, 195206, 11

2011 - Atakishiyeva, Mesuma and Atakishiyev, Natig
On lifting {$q$}-difference operators for a chain of basic hypergeometric polynomials.
Communications in Mathematical Analysis, 1--22

2010 - Atakishiyeva, Mesuma and Atakishiyev, Natig (ver en línea)
On lifting {$q$}-difference operators in the {A}skey scheme of basic hypergeometric polynomials.
Journal of Physics. A. Mathematical and Theoretical, 145201, 18

2010 - Atakishiyev, Natig M. and Kibler, Maurice R. and Wolf, Kurt Bernardo (ver en línea)
{${\rm SU}(2)$} and {${\rm SU}(1,1)$} approaches to phase operators and temporally stable phase states: applications to mutually unbiased bases and discrete {F}ourier transforms.
Symmetry, 1461--1484

2009 - Atakishiyeva, Mesuma K. and Atakishiyev, Natig M. and Koornwinder, Tom H. (ver en línea)
{$q$}-extension of {M}ehta's eigenvectors of the finite {F}ourier transform for {$q$}, a root of unity.
Journal of Physics. A. Mathematical and Theoretical, 454004, 9

2008 - Atakishiyeva, M. K. and Atakishiyev, N. M. (ver en línea)
On continuous {$q$}-{H}ermite polynomials and the classical {F}ourier transform.
Journal of Physics. A. Mathematical and Theoretical, 125201, 9

2008 - Atakishiyev, N. M. and Klimyk, A. U. (ver en línea)
Al-{S}alam--{C}hihara models of quantum oscillator.
Physics Letters. A, 2563--2571

2008 - Atakishiyev, N. M. and Klimyk, A. U. (ver en línea)
On eigenfunctions of continuous and discrete (anti)symmetric multivariate {F}ourier transforms.
Journal of Mathematical Physics, 073509, 22

2008 - Atakishiyev, Natig M. and Klimyk, Anatoliy U. and Wolf, Kurt Bernardo (ver en línea)
A discrete quantum model of the harmonic oscillator.
Journal of Physics. A. Mathematical and Theoretical, 085201, 14

2007 - Alvarez-Nodarse, R. and Atakishiyev, N. M. and Costas-Santos, R. S.
Factorization of the hypergeometric-type difference equation on the uniform lattice.
Electronic Transactions on Numerical Analysis, 34--50

2007 - Atakishiyev, N. M. and Rueda, J. P. and Wolf, K. B. (ver en línea)
On {$q$}-extended eigenvectors of the integral and finite {F}ourier transforms.
Journal of Physics. A. Mathematical and Theoretical, 12701--12707

2006 - Atakishiyev, N. M.
An algorithm for generating multi-parameter weight functions for the {$q^{-1}$}-{H}ermite polynomials.
International Journal of Pure and Applied Mathematics, 265--274

2006 - Atakishiyeva, M. K. and Atakishiyev, N. M. (ver en línea)
On dynamical symmetry algebra for a {$q$}-extension of the harmonic oscillator.
Czechoslovak Journal of Physics, 1081--1086

2006 - Arik, Metin and Atakishiyev, Natig M. and Rueda, Juvenal P.
Discrete {$q$}-{H}ermite polynomials are linked by the integral and finite {F}ourier transforms.
International Journal of Difference Equations, 195--204

2006 - Atakishiyev, N. M. and Klimyk, A. U. (ver en línea)
Discrete coordinate realizations of the {$q$}-oscillator when {$q>1$}.
Modern Physics Letters A. Particles and Fields, Gravitation, Cosmology, Nuclear Physics, 2205--2216

2006 - Atakishiyev, Natig M. (ver en línea)
On {$q$}-extensions of {M}ehta's eigenvectors of the finite {F}ourier transform.
International Journal of Modern Physics A. Particles and Fields. Gravitation. Cosmology, 4993--5006

2006 - Atakishiyev, M. N. and Atakishiyev, N. M. and Klimyk, A. U. (ver en línea)
On {${\rm su}_q(1,1)$}-models of quantum oscillator.
Journal of Mathematical Physics, 093502, 21

2006 - Altinta\d{s}, Azmi Ali and Arik, Metin and Atakishiyev, Natig M. (ver en línea)
On unitary transformations of orthofermion algebra that form a quantum group.
Modern Physics Letters A. Particles and Fields, Gravitation, Cosmology, Nuclear Physics, 1463--1466

2006 - Atakishiyev, N. M. and Klimyk, U.
Duality of {$q$}-polynomials, orthogonal on countable sets of points.
Electronic Transactions on Numerical Analysis, 108--180

2006 - Atakishiyev, N. M. and Galetti, Diogenes and Rueda, Juvenal P.
On relations between certain {$q$}-polynomial families, generated by the finite {F}ourier transform.
International Journal of Pure and Applied Mathematics, 275--284

2005 - Atakishiyev, N. M. and Klimyk, A. U. (ver en línea)
Jacobi matrix pair and dual alternative {$q$}-{C}harlier polynomials.
Nats\={\i}onal\cprime na Akadem\={\i}ya Nauk Ukra\"{\i}ni. \={I}nstitut Matematiki. Ukra\"{\i}ns\cprime ki\u{\i} Matematichni\u{\i} Zhurnal, 614--621

2005 - Atakishiyev, N. M. and Klimyk, A. U. (ver en línea)
Hamiltonian operators in noncommutative world.
Geometry and dynamics, 43--67

2005 - Atakishiyev, N. M. and Klimyk, A. U. (ver en línea)
Representations of the quantum algebra {${\rm su}_q(1,1)$} and duality of {$q$}-orthogonal polynomials.
Algebraic structures and their representations, 195--206

2005 - \'{A}lvarez-Nodarse, R. and Atakishiyeva, M. K. and Atakishiyev, N. M. (ver en línea)
On a {$q$}-extension of the linear harmonic oscillator with the continuous orthogonality property on {${\Bbb R}$}.
Czechoslovak Journal of Physics, 1315--1320

2005 - Atakishiyev, N. M. and Klimyk, A. U. (ver en línea)
On discrete {$q$}-ultraspherical polynomials and their duals.
Journal of Mathematical Analysis and Applications, 637--645

2005 - \'{A}lvarez-Nodarse, R. and Atakishiyev, N. M. and Costas-Santos, R. S. (ver en línea)
Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra.
Journal of Physics. A. Mathematical and General, 153--174

2004 - \'{A}lvarez-Nodarse, R. and Atakishiyeva, M. K. and Atakishiyev, N. M.
A {$q$}-extension of the generalized {H}ermite polynomials with the continuous orthogonality property on {$\Bbb R$}.
International Journal of Pure and Applied Mathematics, 335--347

2004 - Atakishiyev, Natig and Klimyk, Anatoliy
Hamiltonian type operators in representations of the quantum algebra {${\rm su}_q(1,1)$}.
Symmetry in nonlinear mathematical physics. {P}art 1, 2, 3, 1039--1050

2004 - Atakishiyev, Natig M. and Klimyk, Anatoliy U. and Wolf, Kurt Bernardo (ver en línea)
Finite {$q$}-oscillator.
Journal of Physics. A. Mathematical and General, 5569--5587

2004 - Atakishiyev, N. M. and Klimyk, A. U. (ver en línea)
On {$q$}-orthogonal polynomials, dual to little and big {$q$}-{J}acobi polynomials.
Journal of Mathematical Analysis and Applications, 246--257

2003 - \'{A}lvarez-Nodarse, Renato and Atakishiyeva, M. K. and Atakishiyev, N. M. (ver en línea)
Mellin transforms for some families of {$q$}-polynomials.
Proceedings of the {S}ixth {I}nternational {S}ymposium on {O}rthogonal {P}olynomials, {S}pecial {F}unctions and their {A}pplications ({R}ome, 2001)Journal of Computational and Applied Mathematics, 9--18

2003 - Atakishiyev, Natig M. and Pogosyan, George S. and Wolf, Kurt Bernardo (ver en línea)
Contraction of the finite one-dimensional oscillator.
International Journal of Modern Physics A. Particles and Fields. Gravitation. Cosmology, 317--327

2003 - Atakishiyev, M. N. and Atakishiyev, N. M. and Klimyk, A. U. (ver en línea)
Big {$q$}-{L}aguerre and {$q$}-{M}eixner polynomials and representations of the quantum algebra {$U_q({\rm su}_{1,1})$}.
Journal of Physics. A. Mathematical and General, 10335--10347

2003 - Atakishiyev, Natig M. and Pogosyan, George S. and Wolf, Kurt Bernardo (ver en línea)
Contraction of the finite radial oscillator.
International Journal of Modern Physics A. Particles and Fields. Gravitation. Cosmology, 329--341

2002 - Atakishiyev, Natig M. and Pogosyan, George S. and Wolf, Kurt Bernardo (ver en línea)
Contractions of the finite oscillator.
Quantum theory and symmetries ({K}rak\'{o}w, 2001), 261--266

2002 - \'{A}lvarez-Nodarse, R. and Atakishiyeva, M. K. and Atakishiyev, N. M.
On a {$q$}-extension of the {H}ermite polynomials {$H_n(x)$} with the continuous orthogonality property on {$\Bbb R$}.
Sociedad Matem\'{a}tica Mexicana. Bolet\'{\i}n. Tercera Serie, 127--139

2002 - Atakishiyev, N. M. and Klimyk, A. U.
Diagonalization of representation operators for the quantum algebra {$U_Q({\rm SU}_{1,1})$}.
Methods of Functional Analysis and Topology, 1--12

2002 - Atakishiyev, N. M. and Klimyk, A. U. (ver en línea)
Diagonalization of operators and one-parameter families of nonstandard bases for representations of {${\rm su}_q(2)$}.
Journal of Physics. A. Mathematical and General, 5267--5278

2002 - Atakishiyev, Natig M. and Pogosyan, George S. and Vicent, Luis Edgar and Wolf, Kurt Bernardo (ver en línea)
Separation of discrete variables in the 2-dim finite oscillator.
Quantum theory and symmetries ({K}rak\'{o}w, 2001), 255--260

2001 - Atakishiev, N. M. and Atakishieva, M. K. (ver en línea)
A {$q$}-analogue of the {E}uler gamma integral.
Teoreticheskaya i Matematicheskaya Fizika, 20--30

2001 - Atakishiyev, Natig M. and Pogosyan, George S. and Vicent, Luis Edgar and Wolf, Kurt Bernardo (ver en línea)
Finite two-dimensional oscillator. {I}. {T}he {C}artesian model.
Journal of Physics. A. Mathematical and General, 9381--9398

2001 - Atakishiyeva, M. K. and Atakishiyev, N. M. (ver en línea)
Fourier-{G}auss transforms of bilinear generating functions for the continuous {$q$}-{H}ermite polynomials.
Akademiya Nauk SSSR. Yadernaya Fizika, 2176--2182

2001 - Atakishiyev, Natig M. and Pogosyan, George S. and Vicent, Luis Edgar and Wolf, Kurt Bernardo (ver en línea)
Finite two-dimensional oscillator. {II}. {T}he radial model.
Journal of Physics. A. Mathematical and General, 9399--9415

2000 - Atakishiyev, Natig M. and Atakishiyeva, Mesuma K.
On a simple integral representation of the continuous {$q$}-{H}ermite polynomials.
Fractional Calculus \& Applied Analysis. An International Journal for Theory and Applications, 297--302

2000 - Atakishiyev, N. M.
Fourier-{G}auss transforms of some {$q$}-spectral functions.
S{IDE} {III}---symmetries and integrability of difference equations ({S}abaudia, 1998), 13--21

2000 - Wolf, Kurt Bernardo and Atakishiyev, Natig M. and Chumakov, Sergey M. (ver en línea)
The phase space of finite systems.
Hamiltonian systems and celestial mechanics ({P}\'{a}tzcuaro, 1998), 349--359

2000 - Atakishiyeva, Mesuma K. and Atakishiyev, Natig M. and Vicent, Luis Edgar
On a {M}ellin transform of the generalized {H}ermite polynomials.
Sociedad Matem\'{a}tica Mexicana. Bolet\'{\i}n. Tercera Serie, 191--197

2000 - Twareque Ali, S. and Atakishiyev, Natig M. and Chumakov, Sergey M. and Wolf, Kurt Bernardo (ver en línea)
The {W}igner function for general {L}ie groups and the wavelet transform.
Annales Henri Poincar\'{e}. A Journal of Theoretical and Mathematical Physics, 685--714

2000 - Atakishiyev, N. M. and Winternitz, P. (ver en línea)
Bases for representations of quantum algebras.
Journal of Physics. A. Mathematical and General, 5303--5313

2000 - Algin, A. and Arik, M. and Atakishiyev, N. M. (ver en línea)
{${\rm SU}(d)$}-invariant multidimensional {$q$}-oscillators with bosonic degeneracy.
Modern Physics Letters A. Particles and Fields, Gravitation, Cosmology, Nuclear Physics, 1237--1242

1999 - Atakishiyeva, M. K. and Atakishiyev, N. M. (ver en línea)
On the {M}ellin transforms of hypergeometric polynomials.
Journal of Physics. A. Mathematical and General, L33--L41

1999 - Ar\i k, Metin and Atakishiyev, Natig M. and Wolf, Kurt Bernardo (ver en línea)
Quantum algebraic structures compatible with the harmonic oscillator {N}ewton equation.
Journal of Physics. A. Mathematical and General, L371--L376

1999 - Atakishiyev, N. M. (ver en línea)
Fourier-{G}auss transforms of {$q$}-exponential and {$q$}-{B}essel functions.
Symmetries and integrability of difference equations ({C}anterbury, 1996), 345--352

1999 - Atakishiyev, Natig M. and Vicent, Luis Edgar and Wolf, Kurt Bernardo (ver en línea)
Continuous vs. discrete fractional {F}ourier transforms.
Journal of Computational and Applied Mathematics, 73--95

1999 - Atakishiyev, Natig M. and Chumakov, Sergey M. and Wolf, Kurt Bernardo
``{W}hat are the key properties of the {W}igner function?''.
Group22: {P}roceedings of the {XXII} {I}nternational {C}olloquium in {G}roup {T}heoretical {M}ethods in {P}hysics ({H}obart, 1998), 340--344

1998 - Nieto, Luis Miguel and Atakishiyev, Natig M. and Chumakov, Sergey M. and Wolf, Kurt Bernardo (ver en línea)
Wigner distribution function for {E}uclidean systems.
Journal of Physics. A. Mathematical and General, 3875--3895

1998 - Atakishiyev, Natig M. and Jafarov, Elchin I. and Nagiyev, Shakir M. and Wolf, Kurt Bernardo
Meixner oscillators.
Revista Mexicana de F\'{\i}sica, 235--244

1998 - Wolf, K. B. and Atakishiyev, N. M. and Chumakov, S. M.
Wigner distributions for some dynamical models.
Proceedings of the 5th {W}igner {S}ymposium ({V}ienna, 1997), 370--372

1998 - Atakishiev, N. M. and Nagiev, Sh. M. and Vol\cprime f, K. B. (ver en línea)
On {W}igner distribution functions for a relativistic linear oscillator.
Teoreticheskaya i Matematicheskaya Fizika, 410--425

1998 - Atakishiyeva, M. K. and Atakishiyev, N. M. and Villegas-Blas, C. (ver en línea)
On the square integrability of the {$q$}-{H}ermite functions.
Proceedings of the {VIII}th {S}ymposium on {O}rthogonal {P}olynomials and {T}heir {A}pplications ({S}eville, 1997)Journal of Computational and Applied Mathematics, 27--35

1998 - Atakishiyev, Natig M. and Chumakov, Sergey M. and Wolf, Kurt Bernardo (ver en línea)
Wigner distribution function for finite systems.
Journal of Mathematical Physics, 6247--6261

1997 - Atakishiyeva, M. K. and Atakishiyev, N. M. (ver en línea)
Fourier-{G}auss transforms of the {A}l-{S}alam-{C}hihara polynomials.
Journal of Physics. A. Mathematical and General, L655--L661

1997 - Atakishiyeva, M. K. and Atakishiyev, N. M. (ver en línea)
Fourier-{G}auss transforms of the continuous big {$q$}-{H}ermite polynomials.
Journal of Physics. A. Mathematical and General, L559--L565

1997 - Atakishiyev, Natig M.
Continuous solutions of difference equations and their orthogonality relations.
International {W}orkshop on {O}rthogonal {P}olynomials in {M}athematical {P}hysics ({L}egan\'{e}s, 1996), 37--62

1997 - Atakishiyev, Natig M. and Wolf, Kurt Bernardo (ver en línea)
Fractional {F}ourier-{K}ravchuk transform.
Journal of the Optical Society of America A. Optics, Image Science, and Vision, 1467--1477

1997 - Rivera, A. L. and Atakishiyev, N. M. and Chumakov, S. M. and Wolf, K. B. (ver en línea)
Evolution under polynomial {H}amiltonians in quantum and optical phase spaces.
Physical Review. A. Third Series, 876--889

1997 - Atakishiyev, N. M. (ver en línea)
Fourier-{G}auss transforms of the {A}skey-{W}ilson polynomials.
Journal of Physics. A. Mathematical and General, L815--L820

1997 - Atakishiyeva, M. K. and Atakishiyev, N. M. (ver en línea)
{$q$}-{L}aguerre and {W}all polynomials are related by the {F}ourier-{G}auss transform.
Journal of Physics. A. Mathematical and General, L429--L432

1996 - Atakishiyev, N. M. and Feinsilver, P. (ver en línea)
On the coherent states for the {$q$}-{H}ermite polynomials and related {F}ourier transformation.
Journal of Physics. A. Mathematical and General, 1659--1664

1996 - Atakishiyev, N. M. and Chumakov, S. M. and Rivera, A. L. and Wolf, K. B.
Polynomial {H}amiltonians and evolution in quantum and optical phase spaces.
Proceedings of the {IV} {W}igner {S}ymposium ({G}uadalajara, 1995), 166--171

1996 - Atakishiyev, Natig M. and Feinsilver, Philip
Two {R}amanujan's integrals with a complex parameter.
Proceedings of the {IV} {W}igner {S}ymposium ({G}uadalajara, 1995), 406--412

1996 - Atakishiyev, Natig M.
Note on the transformation {$q\to q^{-1}$} for orthogonal {$q$}-polynomials.
Proceedings of the {IV} {W}igner {S}ymposium ({G}uadalajara, 1995), 397--401

1996 - Atakishiyev, Natig M. (ver en línea)
Ramanujan-type continuous measures for biorthogonal {$q$}-rational functions.
Journal of Physics. A. Mathematical and General, 329--338

1996 - Atakishiyev, Natig M. and Nagiyev, Shakir M. and Wolf, Kurt Bernardo
Hamiltonian system governed by a finite-difference equation: the relativistic oscillator in an external field.
New trends for {H}amiltonian systems and celestial mechanics ({C}ocoyoc, 1994), 15--24

1996 - Atakishiyev, Natig M. (ver en línea)
Difference equations and some of their solutions.
Latin-{A}merican {S}chool of {P}hysics {XXX} {ELAF} ({M}\'{e}xico {C}ity, 1995), 69--98

1996 - Atakishiyev, N. M. (ver en línea)
On the {F}ourier-{G}auss transforms of some {$q$}-exponential and {$q$}-trigonometric functions.
Journal of Physics. A. Mathematical and General, 7177--7181

1996 - Atakishiyev, Natig M.
A {R}amanujan-type measure for the {A}l-{S}alam and {I}smail biorthogonal rational functions.
Symmetries and integrability of difference equations ({E}st\'{e}rel, {PQ}, 1994), 21--27

1996 - Atakishiyev, N. M. (ver en línea)
On a one-parameter family of {$q$}-exponential functions.
Journal of Physics. A. Mathematical and General, L223--L227

1996 - Atakishiyev, N. M. and Ronveaux, A. and Wolf, K. B. (ver en línea)
Difference equation for the associated polynomials on the linear lattice.
Teoreticheskaya i Matematicheskaya Fizika, 76--83

1995 - Atakishiev, N. M. (ver en línea)
Orthogonality of the {A}skey-{W}ilson polynomials with respect to a {R}amanujan-type measure.
Teoreticheskaya i Matematicheskaya Fizika, 32--39

1995 - Atakishiyev, N. M. (ver en línea)
Ramanujan-type continuous measures for classical {$q$}-polynomials.
Teoreticheskaya i Matematicheskaya Fizika, 383--392

1995 - Atakishiyev, Natig M. and Nagiyev, Shakir M. and Wolf, Kurt Bernardo
Realization of {${\rm Sp}(2,{\bf R})$} by finite-difference operators: the relativistic oscillator in an external field.
Journal of Group Theory in Physics. An International Journal Devoted to Applications of Group Theory to Physical Problems, 61--70

1995 - Atakishiyev, N. M. and Rahman, M. and Suslov, S. K. (ver en línea)
On classical orthogonal polynomials.
Constructive Approximation. An International Journal for Approximations and Expansions, 181--226

1994 - Atakishiyev, N. M. and Nagiyev, Sh. M. (ver en línea)
On the {R}ogers-{S}zeg\H{o} polynomials.
Journal of Physics. A. Mathematical and General, L611--L615

1994 - Atakishiev, N. M. and Suslov, S. K. (ver en línea)
The {C}lebsch-{G}ordan coefficients for the quantum algebra {${\rm SU}_q(2)$}.
Teoreticheskaya i Matematicheskaya Fizika, 3--11

1994 - Atakishiyev, Natig M. and Frank, Alejandro and Wolf, Kurt Bernardo (ver en línea)
A simple difference realization of the {H}eisenberg {$q$}-algebra.
Journal of Mathematical Physics, 3253--3260

1994 - Atakishiyev, Natig M. and Wolf, Kurt Bernardo
Approximation on a finite set of points through {K}ravchuk functions.
Revista Mexicana de F\'{\i}sica, 366--377

1994 - Atakishiyev, N. M. (ver en línea)
On the {A}skey-{W}ilson {$q$}-beta integral.
Teoreticheskaya i Matematicheskaya Fizika, 155--159

1994 - Atakishiev, N. M. and Nagiev, Sh. M. (ver en línea)
On the wave functions of a covariant linear oscillator.
Teoreticheskaya i Matematicheskaya Fizika, 241--247

1993 - Askey, R. and Atakishiyev, N. M. and Suslov, S. K.
An analog of the {F}ourier transformation for a {$q$}-harmonic oscillator.
Symmetries in science, {VI} ({B}regenz, 1992), 57--63

1992 - Atakishiyev, N. M. and Suslov, S. K. (ver en línea)
On the {A}skey-{W}ilson polynomials.
Constructive Approximation. An International Journal for Approximations and Expansions, 363--369

1992 - Atakishiyev, N. M. and Suslov, S. K. (ver en línea)
Difference hypergeometric functions.
Progress in approximation theory ({T}ampa, {FL}, 1990), 1--35

1991 - Atakishiev, N. M. and Suslov, S. K. (ver en línea)
A realization of the {$q$}-harmonic oscillator.
Akademiya Nauk SSSR. Teoreticheskaya i Matematicheskaya Fizika, 154--156

1991 - Atakishiyev, N. M. and Kuznetsov, G. I. and Suslov, S. K.
On the {CHARM} polynomials.
Orthogonal polynomials and their applications ({E}rice, 1990), 15--16

1990 - Atakishiev, N. M. and Suslov, S. K. (ver en línea)
Difference analogues of the harmonic oscillator.
Akademiya Nauk SSSR. Teoreticheskaya i Matematicheskaya Fizika, 64--73

1989 - Atakishiyev, Natig M. and Wolf, Kurt Bernardo (ver en línea)
Generalized coherent states for a relativistic model of the linear oscillator in a homogeneous external field.
Reports on Mathematical Physics, 305--311

1989 - Atakishiyev, N. M. and Mir-Kasimov, R. M. (ver en línea)
Generalized coherent states for a three-dimensional relativistic model of the oscillator.
Journal of Mathematical Physics, 1631--1634

1989 - Atakishiyev, Natig M. and Lassner, Wolfgang and Wolf, Kurt Bernardo (ver en línea)
The relativistic coma aberration. {I}. {G}eometrical optics.
Journal of Mathematical Physics, 2457--2462

1989 - Atakishiyev, Natig M. and Lassner, Wolfgang and Wolf, Kurt Bernardo (ver en línea)
The relativistic coma aberration. {II}. {H}elmholtz wave optics.
Journal of Mathematical Physics, 2463--2468

1988 - Atakishiyev, N. M. and Suslov, S. K.
Continuous orthogonality property for some classical polynomials of a discrete variable.
Revista Mexicana de F\'{\i}sica, 541--563

1988 - Atakishiyev, N. M. and Suslov, S. K.
On the moments of classical and related polynomials.
Revista Mexicana de F\'{\i}sica, 147--151

1988 - Atakishiyev, N. M. and Suslov, S. K.
About one class of special functions.
Revista Mexicana de F\'{\i}sica, 152--167

1987 - Rustamov, K. A. and Atakishiev, N. M. and Radzhabov, B. A. and Badalov, V. G.
Symmetry properties of the equations of quantum nonrelativistic and relativistic oscillators.
Izvestiya Akademii Nauk Azerba\u{\i}dzhansko\u{\i} SSR. Seriya Fiziko-Tekhnicheskikh i Matematicheskikh Nauk, 89--96

1986 - Atakishiev, N. M. and Mir-Kasimov, R. M.
{$\widetilde{\rm SL}(2,R)$} coefficients of the transformation between the reductions {${\rm SO}(2)$} and {${\rm SO}(1,1)$}.
Group-theoretic methods in physics, {V}ol. 2 ({R}ussian) ({J}\={u}rmala, 1985), 163--168

1986 - Atakishiev, N. M. and Suslov, S. K.
Representations of the {L}orentz group {${\rm SO}(3,1)$} and {H}ahn polynomials.
Group-theoretic methods in physics, {V}ol. 2 ({R}ussian) ({J}\={u}rmala, 1985), 158--163

1986 - Atakishiyev, N. M. and Mir-Kasimov, R. M.
{$\widetilde{\rm SL}(2,{\bf R})$} overlap coefficients between {${\rm SO}(2)$} and {${\rm SO}(1,1)$} subgroup reductions.
Group theoretical methods in physics, {V}ol. {I} ({Y}urmala, 1985), 531--538

1986 - Atakishiyev, N. M. and Suslov, S. K.
Representations of {${\rm SO}(3,1)$} and the {H}ahn polynomials.
Group theoretical methods in physics, {V}ol. {I} ({Y}urmala, 1985), 523--530

1986 - Atakishiev, N. M. and Mir-Kasimov, R. M.
Generalized coherent states for a relativistic model of a linear oscillator.
Akademiya Nauk SSSR. Teoreticheskaya i Matematicheskaya Fizika, 68--75

1985 - Atakishiyev, N. M. and Mir-Kasimov, R. M. and Nagiyev, Sh. M. (ver en línea)
A relativistic model of the isotropic oscillator.
Annalen der Physik. 7. Folge, 25--30

1985 - Atakishiev, N. M. and Mir-Kasimov, R. M.
Wave functions of a relativistic oscillator and different bases for representations of the group {$\widetilde{{\rm SL}}(2,{\bf R})$}.
J{INR} rapid communications, 38--44

1985 - Atakishiyev, N. M. (ver en línea)
Rodrigues' formula for the radial wave function in a relativistic model of the oscillator.
Annalen der Physik. 7. Folge, 31--34

1985 - Atakishiyev, N. M. and Suslov, S. K. (ver en línea)
The {H}ahn and {M}eixner polynomials of an imaginary argument and some of their applications.
Journal of Physics. A. Mathematical and General, 1583--1596

1984 - Atakishiev, N. M.
Quasipotential wave functions of a relativistic harmonic oscillator and the {P}ollaczek polynomials.
Akademiya Nauk SSSR. Teoreticheskaya i Matematicheskaya Fizika, 254--260

1980 - Ataki\v{s}iev, N. M. and Filippov, A. T.
Calculation of superpropagators of massive particles in nonpolynomial quantum field theories.
Akademiya Nauk SSSR. Teoreticheskaya i Matematicheskaya Fizika, 184--194

1980 - Ataki\v{s}iev, N. M. and Mir-Kasimov, R. M. and Nagiev, \v{S}. M.
Quasipotential models of a relativistic oscillator.
Akademiya Nauk SSSR. Teoreticheskaya i Matematicheskaya Fizika, 47--62

1979 - Ataki\v{s}iev, N. M. and Mir-Kasimov, R. M. and Nagiev, \v{S}. M.
A covariant formulation of the relativistic {H}amiltonian theory on the light cone (fields with spin).
Izvestiya Akademii Nauk Azerba\u{\i}dzhansko\u{\i} SSR. Seriya Fiziko-Tekhnicheskikh i Matematicheskikh Nauk, 8--18

1971/72 - Atakishiev, N. M. and Filippov, A. T. (ver en línea)
Calculation of superpropagators in non-linear quantum field theories.
Communications in Mathematical Physics, 74--86

1969 - Agamaliev, A. K. and Atakishiev, N. M. and Verdiev, \u{I}. A.
Invariant decomposition of the solution of the {D}irac equation.
Soviet Journal of Nuclear Physics, 106--108