Edit Profile (opens in new tab) Atakishiev, Natig M. Co-Author Distance Author ID: atakishiev.natig-m Published as: Atakishiyev, N. M.; Atakishiyev, Natig M.; Atakishiev, N. M.; Atakishiyev, Natig; Atakishiev, Natig M.; Atakishiyev, N. more...less Homepage: https://www.matcuer.unam.mx/comunidad/89-atakishiyev-natig External Links: ResearchGate · Math-Net.Ru Documents Indexed: 119 Publications since 1969, including 2 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 45 Co-Authors with 104 Joint Publications 1,017 Co-Co-Authors all top 5 Co-Authors 17 single-authored 35 Wolf, Kurt Bernardo 24 Atakishiyeva, Mesuma K. 16 Klimyk, Anatoliy Ul’yanovich 12 Suslov, Sergei K. 11 Pogosyan, George S. 7 Nagiyev, Shakir M. 6 Chumakov, Sergey M. 5 Álvarez-Nodarse, Renato 5 Vicent, Luis Edgar 5 Yakhno, Alexander 4 Mir-Kasimov, Rufat M. 3 Arik, Metin 3 Jafarov, Elchin I. 3 Rueda, Juvenal P. 2 Area, Iván 2 Atakishiyev, M. N. 2 Costas-Santos, Roberto S. 2 Feinsilver, Philip J. 2 Godoy, Eduardo Paciência 2 Jafarova, Aynura M. 2 Lassner, Wolfgang 1 Ali, Syed Twareque 1 Altintas, Azmi Ali 1 Askey, Richard Allen 1 de la Peña, José Antonio 1 Franco, J. Méndez 1 Franco, Pedro 1 Frank, Alejandro 1 Galetti, Diogenes 1 Hernández, Juan Loreto 1 Klimyk, U. 1 Koornwinder, Tom H. 1 Levi, Decio 1 Nieto, Luis Miguel 1 Ragnisco, Orlando 1 Rahman, Mizan 1 Rivera, Ana Leonor 1 Ronveaux, André 1 Salto-Alegre, Cristina 1 Seligman, Thomas H. 1 Vallejo, Ernesto 1 Van der Jeugt, Joris 1 Villegas-Blas, Carlos 1 Winternitz, Pavel 1 Zhedanov, Alexei S. all top 5 Serials 20 Journal of Physics A: Mathematical and General 11 Journal of Mathematical Physics 11 Theoretical and Mathematical Physics 7 Journal of Physics A: Mathematical and Theoretical 5 Revista Mexicana Física 3 International Journal of Modern Physics A 3 Journal of Computational and Applied Mathematics 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 International Journal of Pure and Applied Mathematics 3 Communications in Mathematical Analysis 2 Modern Physics Letters A 2 Journal of Mathematical Analysis and Applications 2 Constructive Approximation 2 Annalen der Physik, VII. Folge 2 ETNA. Electronic Transactions on Numerical Analysis 2 International Journal of Difference Equations 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Applied Mathematics and Computation 1 Izvestiya Akademii Nauk Azerbaidzhanskoi SSR. Seriya Fiziko-Tekhnicheskikh i Matematicheskikh Nauk 1 Methods of Functional Analysis and Topology 1 Fractional Calculus & Applied Analysis 1 Annales Henri Poincaré 1 Revista de Matemática: Teoría y Aplicaciones 1 Czechoslovak Journal of Physics 1 Contemporary Mathematics 1 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 1 Symmetry all top 5 Fields 82 Special functions (33-XX) 49 Quantum theory (81-XX) 21 Nonassociative rings and algebras (17-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 18 Difference and functional equations (39-XX) 11 Operator theory (47-XX) 10 Topological groups, Lie groups (22-XX) 9 Integral transforms, operational calculus (44-XX) 8 Optics, electromagnetic theory (78-XX) 6 Group theory and generalizations (20-XX) 6 Partial differential equations (35-XX) 6 Numerical analysis (65-XX) 5 Mechanics of particles and systems (70-XX) 3 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 81 Publications have been cited 546 times in 386 Documents Cited by ▼ Year ▼ On classical orthogonal polynomials. Zbl 0837.33010 Atakishiyev, N. M.; Rahman, M.; Suslov, S. K. 51 1995 The Hahn and Meixner polynomials of an imaginary argument and some of their applications. Zbl 0582.33006 Atakishiev, N. M.; Suslov, S. K. 38 1985 Difference analogs of the harmonic oscillator. Zbl 1189.81099 Atakishiev, N. M.; Suslov, S. K. 34 1990 On the Rogers-Szegö polynomials. Zbl 0839.33009 Atakishiyev, N. M.; Nagiyev, Sh. M. 23 1994 The Wigner function for general Lie groups and the wavelet transform. Zbl 1024.81015 Ali, S. Twareque; Atakishiyev, Natig M.; Chumakov, Sergey M.; Wolf, Kurt Bernardo 18 2000 Difference hypergeometric functions. Zbl 0787.33003 Atakishiyev, N. M.; Suslov, S. K. 16 1992 Quantum algebraic structures compatible with the harmonic oscillator Newton equation. Zbl 0953.81042 Arık, Metin; Atakishiyev, Natig M.; Wolf, Kurt Bernardo 15 1999 Continuous vs. discrete fractional Fourier transforms. Zbl 0945.65154 Atakishiyev, Natig M.; Vicent, Luis Edgar; Wolf, Kurt Bernardo 15 1999 Finite two-dimensional oscillator. I: The Cartesian model. Zbl 0998.81030 Atakishiyev, Natig M.; Pogosyan, George S.; Vicent, Luis Edgar; Wolf, Kurt Bernardo 14 2001 A simple difference realization of the Heisenberg \(q\)-algebra. Zbl 0809.17014 Atakishiyev, Natig M.; Frank, Alejandro; Wolf, Kurt Bernardo 14 1994 Wigner distribution function for finite systems. Zbl 0986.81060 Atakishiyev, Natig M.; Chumakov, Sergey M.; Wolf, Kurt Bernardo 13 1998 A realization for the \(q\)-harmonic oscillator. Zbl 1189.81100 Atakishiev, N. M.; Suslov, S. K. 13 1991 Difference equation for associated polynomials on a linear lattice. Zbl 0887.39001 Atakishiyev, N. M.; Ronveaux, A.; Wolf, K. B. 12 1996 Linear partial \(q\)-difference equations on \(q\)-linear lattices and their bivariate \(q\)-orthogonal polynomial solutions. Zbl 1329.39011 Area, I.; Atakishiyev, N.; Godoy, E.; Rodal, J. 12 2013 Wigner distribution function for Euclidean systems. Zbl 0902.22017 Nieto, Luis Miguel; Atakishiyev, Natig M.; Chumakov, Sergey M.; Wolf, Kurt Bernardo 11 1998 Finite two-dimensional oscillator. II: The radial model. Zbl 0998.81031 Atakishiyev, Natig M.; Pogosyan, George S.; Vicent, Luis Edgar; Wolf, Kurt Bernardo 10 2001 Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra. Zbl 1079.33017 Álvarez-Nodarse, R.; Atakishiyev, N. M.; Costas-Santos, R. S. 10 2005 A relativistic model of the isotropic oscillator. Zbl 0582.33004 Atakishiev, N. M.; Mir-Kasimov, R. M.; Nagiev, Sh. M. 10 1985 Big \(q\)-Laguerre and \(q\)-Meixner polynomials and representations of the quantum algebra \(U_q(su_{1,1}\)). Zbl 1058.81040 Atakishiyev, M. N.; Atakishiyev, N. M.; Klimyk, A. U. 10 2003 On the Askey-Wilson polynomials. Zbl 0762.33004 Atakishiev, N. M.; Suslov, S. K. 9 1992 Meixner oscillators. Zbl 1291.81128 Atakishiyev, Natig M.; Jafarov, Elchin I.; Nagiyev, Shakir M.; Wolf, Kurt Bernardo 8 1998 Contraction of the finite one-dimensional oscillator. Zbl 1039.81029 Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo 8 2003 An analog of the Fourier transformation for a \(q\)-harmonic oscillator. Zbl 0863.33020 Askey, R.; Atakishiyev, N. M.; Suslov, S. K. 8 1993 On a one-parameter family of \(q\)-exponential functions. Zbl 0897.33018 Atakishiyev, N. M. 8 1996 On \(q\)-orthogonal polynomials, dual to little and big \(q\)-Jacobi polynomials. Zbl 1049.33013 Atakishiyev, N. M.; Klimyk, A. U. 7 2004 Duality of \(q\)-polynomials, orthogonal on countable sets of points. Zbl 1109.33027 Atakishiyev, N. M.; Klimyk, U. 7 2006 Interbasis expansions in the Zernike system. Zbl 1373.81207 Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo; Yakhno, Alexander 7 2017 On the Mellin transforms of hypergeometric polynomials. Zbl 0943.44005 Atakishiyeva, M. K.; Atakishiyev, N. M. 6 1999 On the moments of classical and related polynomials. Zbl 1291.33007 Atakishiyev, N. M.; Suslov, S. K. 6 1988 On \(q\)-extensions of Mehta’s eigenvectors of the finite Fourier transform. Zbl 1113.81016 Atakishiyev, Natig M. 6 2006 On \(\text{su}_{q}(1,1)\)-models of quantum oscillator. Zbl 1112.81058 Atakishiyev, M. N.; Atakishiyev, N. M.; Klimyk, A. U. 6 2006 A discrete quantum model of the harmonic oscillator. Zbl 1138.81016 Atakishiyev, Natig M.; Klimyk, Anatoliy U.; Wolf, Kurt Bernardo 6 2008 Wigner distribution functions for a relativistic linear oscillator. Zbl 1085.81508 Atakishiyev, N. M.; Nagiev, Sh. M.; Wolf, K. B. 5 1998 \(q\)-Laguerre and Wall polynomials are related by the Fourier-Gauss transform. Zbl 0932.33024 Atakishiyeva, M. K.; Atakishiyev, N. M. 5 1997 A \(q\)-analogue of the Euler gamma integral. Zbl 1028.33011 Atakishiyev, N. M.; Atakishiyeva, M. K. 5 2001 Generalized coherent states for a relativistic model of the linear oscillator in a homogeneous external field. Zbl 0732.34066 Atakishiev, Natig M.; Wolf, Kurt Bernardo 5 1989 On unitary transformations of orthofermion algebra that form a quantum group. Zbl 1098.81047 Altintaṣ, Azmi Ali; Arik, Metin; Atakishiyev, Natig M. 5 2006 Two Ramanujan’s integrals with a complex parameter. Zbl 0948.33500 Atakishiyev, Natig M.; Feinsilver, Philip 4 1996 On discrete \(q\)-extensions of Chebyshev polynomials. Zbl 1263.33009 Atakishiyev, Natig; Atakishiyeva, Mesuma 4 2013 On lifting \(q\)-difference operators in the Askey scheme of basic hypergeometric polynomials. Zbl 1232.33009 Atakishiyeva, Mesuma; Atakishiyev, Natig 4 2010 Spherical geometry, Zernike’s separability, and interbasis expansion coefficients. Zbl 1441.33007 Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo; Yakhno, Alexander 4 2019 Factorization of the hypergeometric-type difference equation on the uniform lattice. Zbl 1176.33008 Álvarez-Nodarse, R.; Atakishiyev, N. M.; Costas-Santos, R. S. 4 2007 About one class of special functions. Zbl 1291.33006 Atakishiyev, N. M.; Suslov, S. K. 3 1988 Continuous orthogonality property for some classical polynomials of a discrete variable. Zbl 1291.33008 Atakishiyev, N. M.; Suslov, S. K. 3 1988 Approximation on a finite set of points through Kravchuk functions. Zbl 1291.41010 Atakishiyev, Natig M.; Wolf, Kurt Bernardo 3 1994 A non-standard generating function for continuous dual \(q\)-Hahn polynomials. Zbl 1307.33009 Atakishiyeva, Mesuma; Atakishiyev, Natig 3 2011 Fourier-Gauss transforms of the continuous big \(q\)-Hermite polynomials. Zbl 0932.33027 Atakishiyeva, M. K.; Atakishiyev, N. M. 3 1997 Fourier-Gauss transforms of the Askey-Wilson polynomials. Zbl 0932.33022 Atakishiyev, N. M. 3 1997 Fourier-Gauss transforms of the Al-Salam-Chihara polynomials. Zbl 0932.33023 Atakishiyeva, M. K.; Atakishiyev, N. M. 3 1997 On discrete \(q\)-ultraspherical polynomials and their duals. Zbl 1076.33013 Atakishiyev, N. M.; Klimyk, A. U. 3 2005 A \(q\)-extension of the generalized Hermite polynomials with the continuous orthogonality property on \(\mathbb R\). Zbl 1064.33015 Álvarez-Nodarse, R.; Atakishiyeva, M. K.; Atakishiyev, N. M. 3 2004 \(\mathrm{SU}(2)\) and \(\mathrm{SU}(1,1)\) approaches to phase operators and temporally stable phase states: Applications to mutually unbiased bases and discrete Fourier transforms. Zbl 1360.81193 Atakishiyev, Natig M.; Kibler, Maurice R.; Wolf, Kurt Bernardo 3 2010 The relativistic coma aberration. I: Geometrical optics. Zbl 0696.53049 Atakishiev, Natig M.; Lassner, Wolfgang; Wolf, Kurt Bernardo 2 1989 The relativistic coma aberration. II: Helmholtz wave optics. Zbl 0696.53050 Atakishiev, Natig M.; Lassner, Wolfgang; Wolf, Kurt Bernardo 2 1989 Finite \(q\)-oscillator. Zbl 1058.81041 Atakishiyev, Natig M.; Klimyk, Anatoliy U.; Wolf, Kurt Bernardo 2 2004 Bases for representations of quantum algebras. Zbl 1041.17013 Atakishiyev, N. M.; Winternitz, P. 2 2000 Rodrigues’ formula for the radial wave function in a relativistic model of the oscillator. Zbl 0582.33005 Atakishiev, N. M. 2 1985 Separation of discrete variables in the 2-dim finite oscillator. Zbl 1068.39500 Atakishiyev, Natig M.; Pogosyan, George S.; Vicent, Luis Edgar; Wolf, Kurt Bernardo 2 2002 On continuous \(q\)-Hermite polynomials and the classical Fourier transform. Zbl 1135.33305 Atakishiyeva, M. K.; Atakishiyev, N. M. 2 2008 On a discrete number operator associated with the 5D discrete Fourier transform. Zbl 1355.39027 Atakishiyeva, M. K.; Atakishiyev, N. M.; Franco, J. Méndez 2 2016 Meixner polynomials and representations of the 3D Lorentz group \(\mathrm{SO}(2,1)\). Zbl 1323.33010 Atakishiyev, Natig M.; Jafarova, Aynura M.; Jafarov, Elchin I. 2 2014 On the Fourier-Gauss transforms of some \(q\)-exponential and \(q\)-trigonometric functions. Zbl 0932.33021 Atakishiyev, N. M. 2 1996 Elliptic basis for the Zernike system: Heun function solutions. Zbl 1401.78002 Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo; Yakhno, Alexander 2 2018 Algebraic structures and their representations. Proceedings of ‘XV coloquio Latinoamericano de álgebra’, Cocoyoc, Morelos, México, July 20–26, 2003. Zbl 1067.16001 1 2005 A Ramanujan-type measure for the Al-Salam and Ismail biorthogonal rational functions. Zbl 0863.33019 Atakishiyev, Natig M. 1 1996 On the square integrability of the \(q\)-Hermite functions. Zbl 0930.33008 Atakishiyeva, M. K.; Atakishiyev, N. M.; Villegas-Blas, C. 1 1998 The Husimi distribution function and superposition of \(Q\)-harmonic oscillator stationary states. Zbl 1330.81143 Atakishiyev, Natig M.; Jafarov, Elchin I.; Jafarova, Aynura M.; Van der Jeugt, J. 1 2014 Fourier-Gauss transforms of some \(q\)-spectral functions. Zbl 0962.33011 Atakishiyev, N. M. 1 2000 Contraction of the finite radial oscillator. Zbl 1039.81030 Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo 1 2003 On a \(q\)-extension of the Hermite polynomials \(H_n(x)\) with the continuous orthogonality property on \(\mathbb{R}\). Zbl 1024.33015 Álvarez-Nodarse, R.; Atakishiyeva, M. K.; Atakishiyev, N. M. 1 2002 Jacobi matrix pair and dual alternative \(q\)-Charlier polynomials. Zbl 1097.33014 Atakishiyev, N. M.; Klimyk, A. U. 1 2005 Clebsch-Gordan coefficients for the quantum algebra \(su_ q(2)\). Zbl 0820.17019 Atakishiev, N. M.; Suslov, S. K. 1 1994 On the Askey-Wilson \(q\)-beta integral. Zbl 0860.33011 Atakishiev, N. M. 1 1994 Orthogonality of Askey-Wilson polynomials with respect to a measure of Ramanujan type. Zbl 0867.33013 Atakishiev, N. M. 1 1995 On \(q\)-extended eigenvectors of the integral and finite Fourier transforms. Zbl 1129.65097 Atakishiyev, N. M.; Rueda, J. P.; Wolf, K. B. 1 2007 \(q\)-extension of Mehta’s eigenvectors of the finite Fourier transform for \(q\), a root of unity. Zbl 1183.33035 Atakishiyeva, Mesuma K.; Atakishiyev, Natig M.; Koornwinder, Tom H. 1 2009 Mellin transforms for some families of \(q\)-polynomials. Zbl 1020.44007 Álvarez-Nodarse, Renato; Atakishiyeva, M. K.; Atakishiyev, N. M. 1 2003 Discrete \(q\)-hermite polynomials are linked by the integral and finite Fourier transforms. Zbl 1153.33307 Arik, Metin; Atakishiyev, Natig M.; Rueda, Juvenal P. 1 2006 Bivariate raising and lowering differential operators for eigenfunctions of a 2D Fourier transform. Zbl 1408.42005 Area, Iván; Atakishiyev, Natig; Godoy, Eduardo; Wolf, Kurt Bernardo 1 2015 On Fourier integral transforms for \(q\)-Fibonacci and \(q\)-Lucas polynomials. Zbl 1248.33031 Atakishiyev, Natig; Franco, Pedro; Levi, Decio; Ragnisco, Orlando 1 2012 On the discrete Fourier transform eigenvectors and spontaneous symmetry breaking. Zbl 1454.39029 Atakishiyeva, Mesuma K.; Atakishiyev, Natig M.; Loreto-Hernández, Juan 1 2020 On the discrete Fourier transform eigenvectors and spontaneous symmetry breaking. Zbl 1454.39029 Atakishiyeva, Mesuma K.; Atakishiyev, Natig M.; Loreto-Hernández, Juan 1 2020 Spherical geometry, Zernike’s separability, and interbasis expansion coefficients. Zbl 1441.33007 Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo; Yakhno, Alexander 4 2019 Elliptic basis for the Zernike system: Heun function solutions. Zbl 1401.78002 Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo; Yakhno, Alexander 2 2018 Interbasis expansions in the Zernike system. Zbl 1373.81207 Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo; Yakhno, Alexander 7 2017 On a discrete number operator associated with the 5D discrete Fourier transform. Zbl 1355.39027 Atakishiyeva, M. K.; Atakishiyev, N. M.; Franco, J. Méndez 2 2016 Bivariate raising and lowering differential operators for eigenfunctions of a 2D Fourier transform. Zbl 1408.42005 Area, Iván; Atakishiyev, Natig; Godoy, Eduardo; Wolf, Kurt Bernardo 1 2015 Meixner polynomials and representations of the 3D Lorentz group \(\mathrm{SO}(2,1)\). Zbl 1323.33010 Atakishiyev, Natig M.; Jafarova, Aynura M.; Jafarov, Elchin I. 2 2014 The Husimi distribution function and superposition of \(Q\)-harmonic oscillator stationary states. Zbl 1330.81143 Atakishiyev, Natig M.; Jafarov, Elchin I.; Jafarova, Aynura M.; Van der Jeugt, J. 1 2014 Linear partial \(q\)-difference equations on \(q\)-linear lattices and their bivariate \(q\)-orthogonal polynomial solutions. Zbl 1329.39011 Area, I.; Atakishiyev, N.; Godoy, E.; Rodal, J. 12 2013 On discrete \(q\)-extensions of Chebyshev polynomials. Zbl 1263.33009 Atakishiyev, Natig; Atakishiyeva, Mesuma 4 2013 On Fourier integral transforms for \(q\)-Fibonacci and \(q\)-Lucas polynomials. Zbl 1248.33031 Atakishiyev, Natig; Franco, Pedro; Levi, Decio; Ragnisco, Orlando 1 2012 A non-standard generating function for continuous dual \(q\)-Hahn polynomials. Zbl 1307.33009 Atakishiyeva, Mesuma; Atakishiyev, Natig 3 2011 On lifting \(q\)-difference operators in the Askey scheme of basic hypergeometric polynomials. Zbl 1232.33009 Atakishiyeva, Mesuma; Atakishiyev, Natig 4 2010 \(\mathrm{SU}(2)\) and \(\mathrm{SU}(1,1)\) approaches to phase operators and temporally stable phase states: Applications to mutually unbiased bases and discrete Fourier transforms. Zbl 1360.81193 Atakishiyev, Natig M.; Kibler, Maurice R.; Wolf, Kurt Bernardo 3 2010 \(q\)-extension of Mehta’s eigenvectors of the finite Fourier transform for \(q\), a root of unity. Zbl 1183.33035 Atakishiyeva, Mesuma K.; Atakishiyev, Natig M.; Koornwinder, Tom H. 1 2009 A discrete quantum model of the harmonic oscillator. Zbl 1138.81016 Atakishiyev, Natig M.; Klimyk, Anatoliy U.; Wolf, Kurt Bernardo 6 2008 On continuous \(q\)-Hermite polynomials and the classical Fourier transform. Zbl 1135.33305 Atakishiyeva, M. K.; Atakishiyev, N. M. 2 2008 Factorization of the hypergeometric-type difference equation on the uniform lattice. Zbl 1176.33008 Álvarez-Nodarse, R.; Atakishiyev, N. M.; Costas-Santos, R. S. 4 2007 On \(q\)-extended eigenvectors of the integral and finite Fourier transforms. Zbl 1129.65097 Atakishiyev, N. M.; Rueda, J. P.; Wolf, K. B. 1 2007 Duality of \(q\)-polynomials, orthogonal on countable sets of points. Zbl 1109.33027 Atakishiyev, N. M.; Klimyk, U. 7 2006 On \(q\)-extensions of Mehta’s eigenvectors of the finite Fourier transform. Zbl 1113.81016 Atakishiyev, Natig M. 6 2006 On \(\text{su}_{q}(1,1)\)-models of quantum oscillator. Zbl 1112.81058 Atakishiyev, M. N.; Atakishiyev, N. M.; Klimyk, A. U. 6 2006 On unitary transformations of orthofermion algebra that form a quantum group. Zbl 1098.81047 Altintaṣ, Azmi Ali; Arik, Metin; Atakishiyev, Natig M. 5 2006 Discrete \(q\)-hermite polynomials are linked by the integral and finite Fourier transforms. Zbl 1153.33307 Arik, Metin; Atakishiyev, Natig M.; Rueda, Juvenal P. 1 2006 Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra. Zbl 1079.33017 Álvarez-Nodarse, R.; Atakishiyev, N. M.; Costas-Santos, R. S. 10 2005 On discrete \(q\)-ultraspherical polynomials and their duals. Zbl 1076.33013 Atakishiyev, N. M.; Klimyk, A. U. 3 2005 Algebraic structures and their representations. Proceedings of ‘XV coloquio Latinoamericano de álgebra’, Cocoyoc, Morelos, México, July 20–26, 2003. Zbl 1067.16001 1 2005 Jacobi matrix pair and dual alternative \(q\)-Charlier polynomials. Zbl 1097.33014 Atakishiyev, N. M.; Klimyk, A. U. 1 2005 On \(q\)-orthogonal polynomials, dual to little and big \(q\)-Jacobi polynomials. Zbl 1049.33013 Atakishiyev, N. M.; Klimyk, A. U. 7 2004 A \(q\)-extension of the generalized Hermite polynomials with the continuous orthogonality property on \(\mathbb R\). Zbl 1064.33015 Álvarez-Nodarse, R.; Atakishiyeva, M. K.; Atakishiyev, N. M. 3 2004 Finite \(q\)-oscillator. Zbl 1058.81041 Atakishiyev, Natig M.; Klimyk, Anatoliy U.; Wolf, Kurt Bernardo 2 2004 Big \(q\)-Laguerre and \(q\)-Meixner polynomials and representations of the quantum algebra \(U_q(su_{1,1}\)). Zbl 1058.81040 Atakishiyev, M. N.; Atakishiyev, N. M.; Klimyk, A. U. 10 2003 Contraction of the finite one-dimensional oscillator. Zbl 1039.81029 Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo 8 2003 Contraction of the finite radial oscillator. Zbl 1039.81030 Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo 1 2003 Mellin transforms for some families of \(q\)-polynomials. Zbl 1020.44007 Álvarez-Nodarse, Renato; Atakishiyeva, M. K.; Atakishiyev, N. M. 1 2003 Separation of discrete variables in the 2-dim finite oscillator. Zbl 1068.39500 Atakishiyev, Natig M.; Pogosyan, George S.; Vicent, Luis Edgar; Wolf, Kurt Bernardo 2 2002 On a \(q\)-extension of the Hermite polynomials \(H_n(x)\) with the continuous orthogonality property on \(\mathbb{R}\). Zbl 1024.33015 Álvarez-Nodarse, R.; Atakishiyeva, M. K.; Atakishiyev, N. M. 1 2002 Finite two-dimensional oscillator. I: The Cartesian model. Zbl 0998.81030 Atakishiyev, Natig M.; Pogosyan, George S.; Vicent, Luis Edgar; Wolf, Kurt Bernardo 14 2001 Finite two-dimensional oscillator. II: The radial model. Zbl 0998.81031 Atakishiyev, Natig M.; Pogosyan, George S.; Vicent, Luis Edgar; Wolf, Kurt Bernardo 10 2001 A \(q\)-analogue of the Euler gamma integral. Zbl 1028.33011 Atakishiyev, N. M.; Atakishiyeva, M. K. 5 2001 The Wigner function for general Lie groups and the wavelet transform. Zbl 1024.81015 Ali, S. Twareque; Atakishiyev, Natig M.; Chumakov, Sergey M.; Wolf, Kurt Bernardo 18 2000 Bases for representations of quantum algebras. Zbl 1041.17013 Atakishiyev, N. M.; Winternitz, P. 2 2000 Fourier-Gauss transforms of some \(q\)-spectral functions. Zbl 0962.33011 Atakishiyev, N. M. 1 2000 Quantum algebraic structures compatible with the harmonic oscillator Newton equation. Zbl 0953.81042 Arık, Metin; Atakishiyev, Natig M.; Wolf, Kurt Bernardo 15 1999 Continuous vs. discrete fractional Fourier transforms. Zbl 0945.65154 Atakishiyev, Natig M.; Vicent, Luis Edgar; Wolf, Kurt Bernardo 15 1999 On the Mellin transforms of hypergeometric polynomials. Zbl 0943.44005 Atakishiyeva, M. K.; Atakishiyev, N. M. 6 1999 Wigner distribution function for finite systems. Zbl 0986.81060 Atakishiyev, Natig M.; Chumakov, Sergey M.; Wolf, Kurt Bernardo 13 1998 Wigner distribution function for Euclidean systems. Zbl 0902.22017 Nieto, Luis Miguel; Atakishiyev, Natig M.; Chumakov, Sergey M.; Wolf, Kurt Bernardo 11 1998 Meixner oscillators. Zbl 1291.81128 Atakishiyev, Natig M.; Jafarov, Elchin I.; Nagiyev, Shakir M.; Wolf, Kurt Bernardo 8 1998 Wigner distribution functions for a relativistic linear oscillator. Zbl 1085.81508 Atakishiyev, N. M.; Nagiev, Sh. M.; Wolf, K. B. 5 1998 On the square integrability of the \(q\)-Hermite functions. Zbl 0930.33008 Atakishiyeva, M. K.; Atakishiyev, N. M.; Villegas-Blas, C. 1 1998 \(q\)-Laguerre and Wall polynomials are related by the Fourier-Gauss transform. Zbl 0932.33024 Atakishiyeva, M. K.; Atakishiyev, N. M. 5 1997 Fourier-Gauss transforms of the continuous big \(q\)-Hermite polynomials. Zbl 0932.33027 Atakishiyeva, M. K.; Atakishiyev, N. M. 3 1997 Fourier-Gauss transforms of the Askey-Wilson polynomials. Zbl 0932.33022 Atakishiyev, N. M. 3 1997 Fourier-Gauss transforms of the Al-Salam-Chihara polynomials. Zbl 0932.33023 Atakishiyeva, M. K.; Atakishiyev, N. M. 3 1997 Difference equation for associated polynomials on a linear lattice. Zbl 0887.39001 Atakishiyev, N. M.; Ronveaux, A.; Wolf, K. B. 12 1996 On a one-parameter family of \(q\)-exponential functions. Zbl 0897.33018 Atakishiyev, N. M. 8 1996 Two Ramanujan’s integrals with a complex parameter. Zbl 0948.33500 Atakishiyev, Natig M.; Feinsilver, Philip 4 1996 On the Fourier-Gauss transforms of some \(q\)-exponential and \(q\)-trigonometric functions. Zbl 0932.33021 Atakishiyev, N. M. 2 1996 A Ramanujan-type measure for the Al-Salam and Ismail biorthogonal rational functions. Zbl 0863.33019 Atakishiyev, Natig M. 1 1996 On classical orthogonal polynomials. Zbl 0837.33010 Atakishiyev, N. M.; Rahman, M.; Suslov, S. K. 51 1995 Orthogonality of Askey-Wilson polynomials with respect to a measure of Ramanujan type. Zbl 0867.33013 Atakishiev, N. M. 1 1995 On the Rogers-Szegö polynomials. Zbl 0839.33009 Atakishiyev, N. M.; Nagiyev, Sh. M. 23 1994 A simple difference realization of the Heisenberg \(q\)-algebra. Zbl 0809.17014 Atakishiyev, Natig M.; Frank, Alejandro; Wolf, Kurt Bernardo 14 1994 Approximation on a finite set of points through Kravchuk functions. Zbl 1291.41010 Atakishiyev, Natig M.; Wolf, Kurt Bernardo 3 1994 Clebsch-Gordan coefficients for the quantum algebra \(su_ q(2)\). Zbl 0820.17019 Atakishiev, N. M.; Suslov, S. K. 1 1994 On the Askey-Wilson \(q\)-beta integral. Zbl 0860.33011 Atakishiev, N. M. 1 1994 An analog of the Fourier transformation for a \(q\)-harmonic oscillator. Zbl 0863.33020 Askey, R.; Atakishiyev, N. M.; Suslov, S. K. 8 1993 Difference hypergeometric functions. Zbl 0787.33003 Atakishiyev, N. M.; Suslov, S. K. 16 1992 On the Askey-Wilson polynomials. Zbl 0762.33004 Atakishiev, N. M.; Suslov, S. K. 9 1992 A realization for the \(q\)-harmonic oscillator. Zbl 1189.81100 Atakishiev, N. M.; Suslov, S. K. 13 1991 Difference analogs of the harmonic oscillator. Zbl 1189.81099 Atakishiev, N. M.; Suslov, S. K. 34 1990 Generalized coherent states for a relativistic model of the linear oscillator in a homogeneous external field. Zbl 0732.34066 Atakishiev, Natig M.; Wolf, Kurt Bernardo 5 1989 The relativistic coma aberration. I: Geometrical optics. Zbl 0696.53049 Atakishiev, Natig M.; Lassner, Wolfgang; Wolf, Kurt Bernardo 2 1989 The relativistic coma aberration. II: Helmholtz wave optics. Zbl 0696.53050 Atakishiev, Natig M.; Lassner, Wolfgang; Wolf, Kurt Bernardo 2 1989 On the moments of classical and related polynomials. Zbl 1291.33007 Atakishiyev, N. M.; Suslov, S. K. 6 1988 About one class of special functions. Zbl 1291.33006 Atakishiyev, N. M.; Suslov, S. K. 3 1988 Continuous orthogonality property for some classical polynomials of a discrete variable. Zbl 1291.33008 Atakishiyev, N. M.; Suslov, S. K. 3 1988 The Hahn and Meixner polynomials of an imaginary argument and some of their applications. Zbl 0582.33006 Atakishiev, N. M.; Suslov, S. K. 38 1985 A relativistic model of the isotropic oscillator. Zbl 0582.33004 Atakishiev, N. M.; Mir-Kasimov, R. M.; Nagiev, Sh. M. 10 1985 Rodrigues’ formula for the radial wave function in a relativistic model of the oscillator. Zbl 0582.33005 Atakishiev, N. M. 2 1985 all cited Publications top 5 cited Publications all top 5 Cited by 432 Authors 30 Atakishiev, Natig M. 21 Area, Iván 18 Foupouagnigni, Mama 15 Wolf, Kurt Bernardo 13 Ronveaux, André 13 Suslov, Sergei K. 12 Álvarez-Nodarse, Renato 12 Godoy, Eduardo Paciência 10 Koepf, Wolfram A. 10 Nagiyev, Shakir M. 9 Cao, Jian 8 Atakishiyeva, Mesuma K. 8 Sasaki, Ryu 7 Algin, Abdullah 7 Jafarov, Elchin I. 7 Klimyk, Anatoliy Ul’yanovich 7 Pogosyan, George S. 6 Masjed-Jamei, Mohammad 6 Odake, Satoru 6 Vinet, Luc 6 Zarzo, Alejandro 6 Zhedanov, Alexei S. 5 Altintas, Azmi Ali 5 Bender, Carl M. 5 Dobrogowska, Alina 5 Jordaan, Kerstin 5 Kenfack-Nangho, Maurice 5 Koornwinder, Tom H. 5 Mboutngam, Salifou 5 Mouayn, Zouhaïr 5 Niu, Dawei 4 Ahmad, Bashir 4 Cheng, Jinfa 4 Costas-Santos, Roberto S. 4 Finkelstein, David Ritz 4 Hounkonnou, Mahouton Norbert 4 Ismail, Mourad El-Houssieny 4 Marcellán Español, Francisco 4 Mbouna, D. 4 Rahman, Mizan 4 Van der Jeugt, Joris 3 Agarwal, Ravi P. 3 Arik, Metin 3 Barker, Laurence 3 Borzov, Vadim V. 3 Castillo, Kenier 3 Dehghani, Alireza 3 Dominici, Diego Ernesto 3 Fakhri, Hossein 3 Gazeau, Jean-Pierre 3 González-Vera, Pablo 3 Jafarova, Aynura M. 3 Klimov, Andrei B. 3 Man’ko, Vladimir Ivanovich 3 Mir-Kasimov, Rufat M. 3 Nemri, Akram 3 Oste, Roy 3 Ozaydin, Fatih 3 Perdomo-Pío, Francisco 3 Sadjang, P. Njionou 3 Spiridonov, Vyacheslav Pavlovich 3 Szabłowski, Paweł Jerzy 3 Terwilliger, Paul M. 3 Tierz, Miguel 3 Vicent, Luis Edgar 3 Wang, Guotao 3 Yakhno, Alexander 3 Zhang, Lihong 2 Adıgüzel, Rezan Sevinik 2 Ahbli, Khalid 2 Arvesú, Jorge 2 Askey, Richard Allen 2 Bayindir, Cihan 2 Berge, Eirik 2 Berge, Stine Marie 2 dos Santos Cardoso, José Luís 2 Chen, William Yong-Chuan 2 Chen, Yang 2 Chowdhury, S. Hasibul Hassan 2 Chung, Won-Sang 2 Civitarese, Osvaldo 2 Coffey, Mark William 2 Cruz-Barroso, Ruymán 2 de Guise, Hubert 2 Dehesa, Jesús S. 2 del Olmo, Mariano A. 2 El Moize, Othmane 2 Franz, Uwe 2 García-Caballero, Esther M. 2 Grishechkin, Yu. A. 2 Guemo Tefo, Y. 2 Hobiny, Aatef D. 2 Jakimowicz, Grzegorz 2 Jooste, Alta S. 2 Jung, Nam Soon 2 Kapshaĭ, Valeriĭ Nikolaevich 2 Karabulut, Hasan 2 Krattenthaler, Christian Friedrich 2 Lewanowicz, Stanisław 2 Luef, Franz ...and 332 more Authors all top 5 Cited in 111 Serials 56 Journal of Mathematical Physics 24 Journal of Computational and Applied Mathematics 20 Journal of Mathematical Analysis and Applications 16 Physics Letters. A 13 The Ramanujan Journal 12 Journal of Difference Equations and Applications 10 International Journal of Theoretical Physics 10 Journal of Physics A: Mathematical and Theoretical 9 Theoretical and Mathematical Physics 9 Applied Mathematics and Computation 8 Annals of Physics 8 Integral Transforms and Special Functions 7 Letters in Mathematical Physics 7 Journal of Approximation Theory 5 International Journal of Modern Physics A 5 Proceedings of the American Mathematical Society 4 Advances in Applied Mathematics 4 Constructive Approximation 4 Applied Mathematics Letters 4 Linear Algebra and its Applications 4 Journal of Nonlinear Mathematical Physics 4 Advances in Difference Equations 3 Modern Physics Letters A 3 Computers & Mathematics with Applications 3 Reviews in Mathematical Physics 3 Journal of Functional Analysis 3 Filomat 3 Bulletin des Sciences Mathématiques 3 Mediterranean Journal of Mathematics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 International Journal of Modern Physics B 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 Nuclear Physics. B 2 Reports on Mathematical Physics 2 Journal of Combinatorial Theory. Series A 2 Studies in Applied Mathematics 2 Acta Applicandae Mathematicae 2 Journal of Symbolic Computation 2 Numerical Algorithms 2 Applied and Computational Harmonic Analysis 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Abstract and Applied Analysis 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Journal of High Energy Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Quantum Information Processing 2 International Journal of Geometric Methods in Modern Physics 2 Journal of Applied Mathematics & Informatics 2 Axioms 2 Problemy Analiza. Issues of Analysis 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 General Relativity and Gravitation 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physica A 1 Physics Letters. B 1 Physics Reports 1 Journal of Geometry and Physics 1 Acta Arithmetica 1 Czechoslovak Mathematical Journal 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of the Korean Mathematical Society 1 Journal of Statistical Planning and Inference 1 Kybernetika 1 Rendiconti del Seminario Matematico della Università di Padova 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Statistics & Probability Letters 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Indagationes Mathematicae. New Series 1 Applied Mathematics. Series B (English Edition) 1 St. Petersburg Mathematical Journal 1 Journal of Mathematical Chemistry 1 Mathematics and Mechanics of Solids 1 Journal of Inequalities and Applications 1 Annals of Combinatorics 1 Fractional Calculus & Applied Analysis 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Analysis (München) 1 LMS Journal of Computation and Mathematics 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Russian Physics Journal 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Czechoslovak Journal of Physics 1 Mathematical Modelling and Analysis 1 Applied Mathematics E-Notes 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 International Journal of Quantum Information 1 Journal of Geometry and Symmetry in Physics 1 African Diaspora Journal of Mathematics ...and 11 more Serials all top 5 Cited in 44 Fields 224 Special functions (33-XX) 152 Quantum theory (81-XX) 70 Difference and functional equations (39-XX) 59 Harmonic analysis on Euclidean spaces (42-XX) 36 Nonassociative rings and algebras (17-XX) 35 Combinatorics (05-XX) 26 Ordinary differential equations (34-XX) 23 Numerical analysis (65-XX) 22 Partial differential equations (35-XX) 20 Number theory (11-XX) 20 Topological groups, Lie groups (22-XX) 15 Operator theory (47-XX) 14 Integral transforms, operational calculus (44-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Probability theory and stochastic processes (60-XX) 11 Mechanics of particles and systems (70-XX) 11 Optics, electromagnetic theory (78-XX) 9 Functions of a complex variable (30-XX) 9 Approximations and expansions (41-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Functional analysis (46-XX) 6 Group theory and generalizations (20-XX) 6 Relativity and gravitational theory (83-XX) 5 Algebraic geometry (14-XX) 5 Abstract harmonic analysis (43-XX) 5 Information and communication theory, circuits (94-XX) 4 Integral equations (45-XX) 4 Differential geometry (53-XX) 4 Computer science (68-XX) 3 Associative rings and algebras (16-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistics (62-XX) 2 Real functions (26-XX) 2 Convex and discrete geometry (52-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year