Atakishiyeva, Mesuma; Atakishiyev, Natig; Zhedanov, Alexei An algebraic interpretation of the intertwining operators associated with the discrete Fourier transform. (English) Zbl 1480.42008 J. Math. Phys. 62, No. 10, Article ID 101704, 10 p. (2021). MSC: 42A38 33D45 PDFBibTeX XMLCite \textit{M. Atakishiyeva} et al., J. Math. Phys. 62, No. 10, Article ID 101704, 10 p. (2021; Zbl 1480.42008) Full Text: DOI arXiv
Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo; Yakhno, Alexander Spherical geometry, Zernike’s separability, and interbasis expansion coefficients. (English) Zbl 1441.33007 J. Math. Phys. 60, No. 10, 101701, 12 p. (2019). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 33C45 35C10 14M27 78A40 78A45 81R12 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} et al., J. Math. Phys. 60, No. 10, 101701, 12 p. (2019; Zbl 1441.33007) Full Text: DOI
Atakishiyev, Natig M.; Pogosyan, George S.; Salto-Alegre, Cristina; Wolf, Kurt Bernardo; Yakhno, Alexander The superintegrable Zernike system. (English) Zbl 1409.81055 Dobrev, Vladimir (ed.), Quantum theory and symmetries with Lie theory and its applications in physics. Volume 1. QTS-X/LT-XII, Varna, Bulgaria, June 19–25, 2017. Singapore: Springer. Springer Proc. Math. Stat. 263, 263-273 (2018). MSC: 81R12 35A18 81Q05 20K25 33C45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} et al., Springer Proc. Math. Stat. 263, 263--273 (2018; Zbl 1409.81055) Full Text: DOI
Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo; Yakhno, Alexander Elliptic basis for the Zernike system: Heun function solutions. (English) Zbl 1401.78002 J. Math. Phys. 59, No. 7, 073503, 15 p. (2018). Reviewer: Vladimir Čadež (Beograd) MSC: 78A05 35A18 33C45 81V45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} et al., J. Math. Phys. 59, No. 7, 073503, 15 p. (2018; Zbl 1401.78002) Full Text: DOI
Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo; Yakhno, Alexander Interbasis expansions in the Zernike system. (English) Zbl 1373.81207 J. Math. Phys. 58, No. 10, 103505, 20 p. (2017). MSC: 81Q10 81R12 33C45 33C55 22D10 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} et al., J. Math. Phys. 58, No. 10, 103505, 20 p. (2017; Zbl 1373.81207) Full Text: DOI arXiv
Atakishiyeva, Mesuma K.; Atakishiyev, Natig M.; Wolf, Kurt Bernardo Kravchuk polynomials and irreducible representations of the rotation group \(\mathrm{SO}(3)\). (English) Zbl 1312.33050 Bol. Soc. Mat. Mex., III. Ser. 21, No. 1, 27-37 (2015). MSC: 33D45 39A70 47B39 PDFBibTeX XMLCite \textit{M. K. Atakishiyeva} et al., Bol. Soc. Mat. Mex., III. Ser. 21, No. 1, 27--37 (2015; Zbl 1312.33050) Full Text: DOI
Atakishiyev, Natig M.; Jafarova, Aynura M.; Jafarov, Elchin I. Meixner polynomials and representations of the 3D Lorentz group \(\mathrm{SO}(2,1)\). (English) Zbl 1323.33010 Commun. Math. Anal. 17, No. 2, 14-23 (2014). Reviewer: Dmitri Artamonov (Moskva) MSC: 33C45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} et al., Commun. Math. Anal. 17, No. 2, 14--23 (2014; Zbl 1323.33010) Full Text: Euclid
Area, I.; Atakishiyev, N.; Godoy, E.; Rodal, J. Linear partial \(q\)-difference equations on \(q\)-linear lattices and their bivariate \(q\)-orthogonal polynomial solutions. (English) Zbl 1329.39011 Appl. Math. Comput. 223, 520-536 (2013). MSC: 39A13 33D45 PDFBibTeX XMLCite \textit{I. Area} et al., Appl. Math. Comput. 223, 520--536 (2013; Zbl 1329.39011) Full Text: DOI arXiv
Atakishiyev, Natig; Atakishiyeva, Mesuma On discrete \(q\)-extensions of Chebyshev polynomials. (English) Zbl 1263.33009 Commun. Math. Anal. 14, No. 2, 1-12 (2013). MSC: 33D45 39A70 47B39 PDFBibTeX XMLCite \textit{N. Atakishiyev} and \textit{M. Atakishiyeva}, Commun. Math. Anal. 14, No. 2, 1--12 (2013; Zbl 1263.33009) Full Text: Euclid
Atakishiyev, Natig; Franco, Pedro; Levi, Decio; Ragnisco, Orlando On Fourier integral transforms for \(q\)-Fibonacci and \(q\)-Lucas polynomials. (English) Zbl 1248.33031 J. Phys. A, Math. Theor. 45, No. 19, Article ID 195206, 11 p. (2012). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 33D70 42A38 42B10 33C45 PDFBibTeX XMLCite \textit{N. Atakishiyev} et al., J. Phys. A, Math. Theor. 45, No. 19, Article ID 195206, 11 p. (2012; Zbl 1248.33031) Full Text: DOI arXiv
Atakishiyeva, Mesuma; Atakishiyev, Natig A non-standard generating function for continuous dual \(q\)-Hahn polynomials. (Spanish. English summary) Zbl 1307.33009 Rev. Mat. Teor. Apl. 18, No. 1, 111-120 (2011). MSC: 33D45 47B39 PDFBibTeX XMLCite \textit{M. Atakishiyeva} and \textit{N. Atakishiyev}, Rev. Mat. Teor. Apl. 18, No. 1, 111--120 (2011; Zbl 1307.33009) Full Text: DOI
Atakishiyev, Natig; Atakishiyeva, Mesuma On lifting \(q\)-difference operators for a chain of basic hypergeometric polynomials. (English) Zbl 1209.33018 Commun. Math. Anal. Conference 3, 1-22 (2011). MSC: 33D45 39A70 47B39 PDFBibTeX XMLCite \textit{N. Atakishiyev} and \textit{M. Atakishiyeva}, Commun. Math. Anal. Conference 3, 1--22 (2011; Zbl 1209.33018) Full Text: Euclid
Atakishiyeva, Mesuma; Atakishiyev, Natig On lifting \(q\)-difference operators in the Askey scheme of basic hypergeometric polynomials. (English) Zbl 1232.33009 J. Phys. A, Math. Theor. 43, No. 14, Article ID 145201 (2010). MSC: 33C45 47B39 28A51 33D45 39A70 PDFBibTeX XMLCite \textit{M. Atakishiyeva} and \textit{N. Atakishiyev}, J. Phys. A, Math. Theor. 43, No. 14, Article ID 145201 (2010; Zbl 1232.33009) Full Text: DOI
Atakishiyeva, Mesuma K.; Atakishiyev, Natig M.; Koornwinder, Tom H. \(q\)-extension of Mehta’s eigenvectors of the finite Fourier transform for \(q\), a root of unity. (English) Zbl 1183.33035 J. Phys. A, Math. Theor. 42, No. 45, Article ID 454004, 9 p. (2009). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33D45 42A38 PDFBibTeX XMLCite \textit{M. K. Atakishiyeva} et al., J. Phys. A, Math. Theor. 42, No. 45, Article ID 454004, 9 p. (2009; Zbl 1183.33035) Full Text: DOI arXiv
Atakishiyev, N. M.; Klimyk, A. U. Al-Salam-Chihara models of quantum oscillator. (English) Zbl 1220.81078 Phys. Lett., A 372, No. 15, 2563-2571 (2008). MSC: 81Q05 81Q99 33C47 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} and \textit{A. U. Klimyk}, Phys. Lett., A 372, No. 15, 2563--2571 (2008; Zbl 1220.81078) Full Text: DOI
Atakishiyeva, M. K.; Atakishiyev, N. M. On continuous \(q\)-Hermite polynomials and the classical Fourier transform. (English) Zbl 1135.33305 J. Phys. A, Math. Theor. 41, No. 12, Article ID 125201, 9 p. (2008). MSC: 33D45 42A38 81R50 17B37 PDFBibTeX XMLCite \textit{M. K. Atakishiyeva} and \textit{N. M. Atakishiyev}, J. Phys. A, Math. Theor. 41, No. 12, Article ID 125201, 9 p. (2008; Zbl 1135.33305) Full Text: DOI
Álvarez-Nodarse, R.; Atakishiyev, N. M.; Costas-Santos, R. S. Factorization of the hypergeometric-type difference equation on the uniform lattice. (English) Zbl 1176.33008 ETNA, Electron. Trans. Numer. Anal. 27, 34-50 (2007). MSC: 33C45 33C90 39A13 PDFBibTeX XMLCite \textit{R. Álvarez-Nodarse} et al., ETNA, Electron. Trans. Numer. Anal. 27, 34--50 (2007; Zbl 1176.33008) Full Text: arXiv EuDML EMIS
Arik, Metin; Atakishiyev, Natig M.; Rueda, Juvenal P. Discrete \(q\)-hermite polynomials are linked by the integral and finite Fourier transforms. (English) Zbl 1153.33307 Int. J. Difference Equ. 1, No. 2, 195-204 (2006). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33D45 42A38 PDFBibTeX XMLCite \textit{M. Arik} et al., Int. J. Difference Equ. 1, No. 2, 195--204 (2006; Zbl 1153.33307)
Atakishiyev, N. M.; Klimyk, U. Duality of \(q\)-polynomials, orthogonal on countable sets of points. (English) Zbl 1109.33027 ETNA, Electron. Trans. Numer. Anal. 24, 108-180 (2006). MSC: 33D80 33D45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} and \textit{U. Klimyk}, ETNA, Electron. Trans. Numer. Anal. 24, 108--180 (2006; Zbl 1109.33027) Full Text: arXiv EuDML Link
Atakishiyev, Natig M. On \(q\)-extensions of Mehta’s eigenvectors of the finite Fourier transform. (English) Zbl 1113.81016 Int. J. Mod. Phys. A 21, No. 23-24, 4993-5006 (2006). MSC: 81P68 65T50 81R50 33C45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev}, Int. J. Mod. Phys. A 21, No. 23--24, 4993--5006 (2006; Zbl 1113.81016) Full Text: DOI
Atakishiyev, N. M.; Galetti, Diogenes; Rueda, Juvenal P. On relations between certain \(q\)-polynomial families, generated by the finite Fourier transform. (English) Zbl 1091.33015 Int. J. Pure Appl. Math. 26, No. 2, 275-284 (2006). Reviewer: P. R. Parthasarathy (Chennai) MSC: 33D45 39A13 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} et al., Int. J. Pure Appl. Math. 26, No. 2, 275--284 (2006; Zbl 1091.33015)
Atakishiyev, N. M. An algorithm for generating multi-parameter weight functions for the \(q^{-1}\)-Hermite polynomials. (English) Zbl 1091.33014 Int. J. Pure Appl. Math. 26, No. 2, 265-274 (2006). Reviewer: P. R. Parthasarathy (Chennai) MSC: 33D45 39A13 PDFBibTeX XMLCite \textit{N. M. Atakishiyev}, Int. J. Pure Appl. Math. 26, No. 2, 265--274 (2006; Zbl 1091.33014)
Atakishiyev, N. M.; Klimyk, A. U. Hamiltonian operators in noncommutative world. (English) Zbl 1142.33007 Eells, James (ed.) et al., Geometry and dynamics. International conference in honor of the 60th anniversary of Alberto Verjovsky, Cuernavaca, Mexico, January 6–11, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3851-2/pbk). Contemporary Mathematics 389. Aportaciones Matemáticas, 43-67 (2005). Reviewer: P. R. Parthasarathy (Karlsruhe) MSC: 33D80 81R50 46L52 17B37 33D45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} and \textit{A. U. Klimyk}, Contemp. Math. 389, 43--67 (2005; Zbl 1142.33007)
Atakishiyev, N. M.; Klimyk, A. U. Jacobi matrix pair and dual alternative \(q\)-Charlier polynomials. (English) Zbl 1097.33014 Ukr. Mat. Zh. 57, No. 5, 614-621 (2005) and Ukr. Math. J. 57, No. 5, 728-737 (2005). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 33D45 33D80 47A57 47B36 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} and \textit{A. U. Klimyk}, Ukr. Mat. Zh. 57, No. 5, 614--621 (2005; Zbl 1097.33014) Full Text: DOI
Atakishiyev, N. M.; Klimyk, A. U. Representations of the quantum algebra \(\text{su}_q(1,1)\) and duality of \(q\)-orthogonal polynomials. (English) Zbl 1176.17009 de la Peña, José A. (ed.) et al., Algebraic structures and their representations. Proceedings of ‘XV coloquio Latinoamericano de álgebra’, Cocoyoc, Morelos, México, July 20–26, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3630-7/pbk). Contemporary Mathematics 376, 195-206 (2005). MSC: 17B37 33D45 33D80 47B36 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} and \textit{A. U. Klimyk}, Contemp. Math. 376, 195--206 (2005; Zbl 1176.17009) Full Text: DOI
Atakishiyev, N. M.; Klimyk, A. U. On discrete \(q\)-ultraspherical polynomials and their duals. (English) Zbl 1076.33013 J. Math. Anal. Appl. 306, No. 2, 637-645 (2005). Reviewer: Angela Pasquale (Metz) MSC: 33D45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} and \textit{A. U. Klimyk}, J. Math. Anal. Appl. 306, No. 2, 637--645 (2005; Zbl 1076.33013) Full Text: DOI arXiv
Álvarez-Nodarse, R.; Atakishiyev, N. M.; Costas-Santos, R. S. Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra. (English) Zbl 1079.33017 J. Phys. A, Math. Gen. 38, No. 1, 53-174 (2005). Reviewer: Roelof Koekoek (Delft) MSC: 33E30 PDFBibTeX XMLCite \textit{R. Álvarez-Nodarse} et al., J. Phys. A, Math. Gen. 38, No. 1, 53--174 (2005; Zbl 1079.33017) Full Text: DOI arXiv Link
Atakishiyev, N. M.; Klimyk, A. U. On \(q\)-orthogonal polynomials, dual to little and big \(q\)-Jacobi polynomials. (English) Zbl 1049.33013 J. Math. Anal. Appl. 294, No. 1, 246-257 (2004). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 33D90 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} and \textit{A. U. Klimyk}, J. Math. Anal. Appl. 294, No. 1, 246--257 (2004; Zbl 1049.33013) Full Text: DOI arXiv
Álvarez-Nodarse, R.; Atakishiyeva, M. K.; Atakishiyev, N. M. A \(q\)-extension of the generalized Hermite polynomials with the continuous orthogonality property on \(\mathbb R\). (English) Zbl 1064.33015 Int. J. Pure Appl. Math. 10, No. 3, 335-347 (2004). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33D45 42C05 PDFBibTeX XMLCite \textit{R. Álvarez-Nodarse} et al., Int. J. Pure Appl. Math. 10, No. 3, 335--347 (2004; Zbl 1064.33015)
Atakishiyev, M. N.; Atakishiyev, N. M.; Klimyk, A. U. Big \(q\)-Laguerre and \(q\)-Meixner polynomials and representations of the quantum algebra \(U_q(su_{1,1}\)). (English) Zbl 1058.81040 J. Phys. A, Math. Gen. 36, No. 41, 10335-10347 (2003). MSC: 81R50 33C45 81R15 17B37 16W30 PDFBibTeX XMLCite \textit{M. N. Atakishiyev} et al., J. Phys. A, Math. Gen. 36, No. 41, 10335--10347 (2003; Zbl 1058.81040) Full Text: DOI arXiv
Álvarez-Nodarse, Renato; Atakishiyeva, M. K.; Atakishiyev, N. M. Mellin transforms for some families of \(q\)-polynomials. (English) Zbl 1020.44007 J. Comput. Appl. Math. 153, No. 1-2, 9-18 (2003). Reviewer: Som Prakash Goyal (Jaipur) MSC: 44A20 33D05 33D45 PDFBibTeX XMLCite \textit{R. Álvarez-Nodarse} et al., J. Comput. Appl. Math. 153, No. 1--2, 9--18 (2003; Zbl 1020.44007) Full Text: DOI
Atakishiyev, N. M.; Klimyk, A. U. A set of orthogonal polynomials, dual to alternative q-Charlier polynomials. arXiv:math/0312312 Preprint, arXiv:math/0312312 [math.CA] (2003). MSC: 33D45 47B36 81Q10 BibTeX Cite \textit{N. M. Atakishiyev} and \textit{A. U. Klimyk}, ``A set of orthogonal polynomials, dual to alternative q-Charlier polynomials'', Preprint, arXiv:math/0312312 [math.CA] (2003) Full Text: arXiv
Álvarez-Nodarse, R.; Atakishiyeva, M. K.; Atakishiyev, N. M. On a \(q\)-extension of the Hermite polynomials \(H_n(x)\) with the continuous orthogonality property on \(\mathbb{R}\). (English) Zbl 1024.33015 Bol. Soc. Mat. Mex., III. Ser. 8, No. 2, 127-139 (2002). Reviewer: H.-J.Glaeske (Jena) MSC: 33D45 33C45 39A10 42B10 PDFBibTeX XMLCite \textit{R. Álvarez-Nodarse} et al., Bol. Soc. Mat. Mex., III. Ser. 8, No. 2, 127--139 (2002; Zbl 1024.33015)
Atakishiyev, N. M.; Klimyk, A. U. Diagonalization of representation operators for the quantum algebra \(U_q(su_{1,1})\). (English) Zbl 1005.17009 Methods Funct. Anal. Topol. 8, No. 3, 1-12 (2002). Reviewer: A.N.Kochubei (Kyïv) MSC: 17B37 33D45 81R50 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} and \textit{A. U. Klimyk}, Methods Funct. Anal. Topol. 8, No. 3, 1--12 (2002; Zbl 1005.17009)
Atakishiyeva, Mesuma K.; Atakishiyev, Natig M.; Vicent, Luis Edgar On a Mellin transform of the generalized Hermite polynomials. (English) Zbl 0978.33004 Bol. Soc. Mat. Mex., III. Ser. 6, No. 2, 191-197 (2000). Reviewer: Angela Pasquale (Clausthal-Zellerfeld) MSC: 33C45 42A38 39A10 42B10 PDFBibTeX XMLCite \textit{M. K. Atakishiyeva} et al., Bol. Soc. Mat. Mex., III. Ser. 6, No. 2, 191--197 (2000; Zbl 0978.33004)
Atakishiyev, N. M. Fourier-Gauss transforms of some \(q\)-spectral functions. (English) Zbl 0962.33011 Levi, Decio (ed.) et al., SIDE III - Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16-22, 1998. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 25, 13-21 (2000). Reviewer: Roelof Koekoek (Delft) MSC: 33D45 44A20 26C15 PDFBibTeX XMLCite \textit{N. M. Atakishiyev}, in: SIDE III -- Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16--22, 1998. Providence, RI: American Mathematical Society (AMS). 13--21 (2000; Zbl 0962.33011)
Atakishiyeva, M. K.; Atakishiyev, N. M. On the Mellin transforms of hypergeometric polynomials. (English) Zbl 0943.44005 J. Phys. A, Math. Gen. 32, No. 3, L33-L41 (1999). Reviewer: K.C.Gupta (Jaipur) MSC: 44A20 44A15 33C45 PDFBibTeX XMLCite \textit{M. K. Atakishiyeva} and \textit{N. M. Atakishiyev}, J. Phys. A, Math. Gen. 32, No. 3, L33--L41 (1999; Zbl 0943.44005) Full Text: DOI
Atakishiyev, Natig M.; Jafarov, Elchin I.; Nagiyev, Shakir M.; Wolf, Kurt Bernardo Meixner oscillators. (English) Zbl 1291.81128 Rev. Mex. Fís. 44, No. 3, 235-244 (1998). MSC: 81Q05 81R30 33C45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} et al., Rev. Mex. Fís. 44, No. 3, 235--244 (1998; Zbl 1291.81128) Full Text: arXiv
Atakishiyeva, M. K.; Atakishiyev, N. M.; Villegas-Blas, C. On the square integrability of the \(q\)-Hermite functions. (English) Zbl 0930.33008 J. Comput. Appl. Math. 99, No. 1-2, 27-35 (1998). Reviewer: R.Koekoek (Delft) MSC: 33D45 PDFBibTeX XMLCite \textit{M. K. Atakishiyeva} et al., J. Comput. Appl. Math. 99, No. 1--2, 27--35 (1998; Zbl 0930.33008) Full Text: DOI
Atakishiyev, N. M. Fourier-Gauss transforms of the Askey-Wilson polynomials. (English) Zbl 0932.33022 J. Phys. A, Math. Gen. 30, No. 24, L815-L820 (1997). Reviewer: R.Koekoek (Delft) MSC: 33D45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev}, J. Phys. A, Math. Gen. 30, No. 24, L815--L820 (1997; Zbl 0932.33022) Full Text: DOI
Atakishiyeva, M. K.; Atakishiyev, N. M. \(q\)-Laguerre and Wall polynomials are related by the Fourier-Gauss transform. (English) Zbl 0932.33024 J. Phys. A, Math. Gen. 30, No. 13, L429-L432 (1997). MSC: 33D45 PDFBibTeX XMLCite \textit{M. K. Atakishiyeva} and \textit{N. M. Atakishiyev}, J. Phys. A, Math. Gen. 30, No. 13, L429--L432 (1997; Zbl 0932.33024) Full Text: DOI
Atakishiyeva, M. K.; Atakishiyev, N. M. Fourier-Gauss transforms of the Al-Salam-Chihara polynomials. (English) Zbl 0932.33023 J. Phys. A, Math. Gen. 30, No. 19, L655-L661 (1997). MSC: 33D45 PDFBibTeX XMLCite \textit{M. K. Atakishiyeva} and \textit{N. M. Atakishiyev}, J. Phys. A, Math. Gen. 30, No. 19, L655--L661 (1997; Zbl 0932.33023) Full Text: DOI
Atakishiyeva, M. K.; Atakishiyev, N. M. Fourier-Gauss transforms of the continuous big \(q\)-Hermite polynomials. (English) Zbl 0932.33027 J. Phys. A, Math. Gen. 30, No. 16, L559-L565 (1997). Reviewer: J.P.Singhal (Baroda) MSC: 33D45 PDFBibTeX XMLCite \textit{M. K. Atakishiyeva} and \textit{N. M. Atakishiyev}, J. Phys. A, Math. Gen. 30, No. 16, L\, 559-L\, 565 (1997; Zbl 0932.33027) Full Text: DOI
Atakishiyev, Natig M. Note on the transformation \(q\to q^{-1}\) for orthogonal \(q\)-polynomials. (English) Zbl 0948.33501 Atakishiyev, N. M. (ed.) et al., Proceedings of the IV Wigner symposium, Guadalajara, Mexico, August 7-11, 1995. Singapore: World Scientific. 397-401 (1996). MSC: 33D45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev}, in: Proceedings of the IV Wigner symposium, Guadalajara, Mexico, August 7--11, 1995. Singapore: World Scientific. 397--401 (1996; Zbl 0948.33501)
Atakishiyev, N. M.; Feinsilver, P. On the coherent states for the \(q\)-Hermite polynomials and related Fourier transformation. (English) Zbl 0914.33011 J. Phys. A, Math. Gen. 29, No. 8, 1659-1664 (1996). MSC: 33D45 81R30 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} and \textit{P. Feinsilver}, J. Phys. A, Math. Gen. 29, No. 8, 1659--1664 (1996; Zbl 0914.33011) Full Text: DOI
Atakishiyev, N. M.; Ronveaux, A.; Wolf, K. B. Difference equation for associated polynomials on a linear lattice. (English) Zbl 0887.39001 Theor. Math. Phys. 106, No. 1, 61-67 (1996) and Teor. Mat. Fiz. 106, No. 1, 76-83 (1996). MSC: 39A10 33C45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} et al., Theor. Math. Phys. 106, No. 1, 61--67 (1996) and Teor. Mat. Fiz. 106, No. 1, 76--83 (1996; Zbl 0887.39001) Full Text: DOI
Atakishiev, N. M. Orthogonality of Askey-Wilson polynomials with respect to a measure of Ramanujan type. (English. Russian original) Zbl 0867.33013 Theor. Math. Phys. 102, No. 1, 23-28 (1995); translation from Teor. Mat. Fiz. 102, No. 1, 32-39 (1995). Reviewer: H.-J.Glaeske (Jena) MSC: 33D45 PDFBibTeX XMLCite \textit{N. M. Atakishiev}, Theor. Math. Phys. 102, No. 1, 23--28 (1995; Zbl 0867.33013); translation from Teor. Mat. Fiz. 102, No. 1, 32--39 (1995) Full Text: DOI
Atakishiyev, N. M.; Rahman, M.; Suslov, S. K. On classical orthogonal polynomials. (English) Zbl 0837.33010 Constr. Approx. 11, No. 2, 181-226 (1995). MSC: 33D15 33D45 33C45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} et al., Constr. Approx. 11, No. 2, 181--226 (1995; Zbl 0837.33010) Full Text: DOI
Atakishiyev, N. M. Ramanujan-type continuous measures for classical \(q\)-polynomials. (English) Zbl 0898.33012 Theor. Math. Phys. 105, No. 3, 1500-1508 (1995) and Teor. Mat. Fiz. 105, No. 3, 383-392 (1995). Reviewer: H.M.Srivastava (Victoria) MSC: 33D45 33C45 42C05 33D90 PDFBibTeX XMLCite \textit{N. M. Atakishiyev}, Theor. Math. Phys. 105, No. 3, 1500--1508 (1995) and Teor. Mat. Fiz. 105, No. 3, 383--392 (1995; Zbl 0898.33012) Full Text: DOI
Atakishiev, N. M.; Suslov, S. K. Clebsch-Gordan coefficients for the quantum algebra \(su_ q(2)\). (English. Russian original) Zbl 0820.17019 Theor. Math. Phys. 98, No. 1, 1-7 (1994); translation from Teor. Mat. Fiz. 98, No. 1, 3-11 (1994). Reviewer: Anatoli Klimyk (Kyïv) MSC: 17B37 33D45 81R50 PDFBibTeX XMLCite \textit{N. M. Atakishiev} and \textit{S. K. Suslov}, Theor. Math. Phys. 98, No. 1, 1 (1994; Zbl 0820.17019); translation from Teor. Mat. Fiz. 98, No. 1, 3--11 (1994) Full Text: DOI
Askey, R.; Atakishiyev, N. M.; Suslov, S. K. An analog of the Fourier transformation for a \(q\)-harmonic oscillator. (English) Zbl 0863.33020 Gruber, Bruno (ed.), Symmetries in science VI: From the rotation group to quantum algebras. Proceedings of a symposium held in Bregenz, Austria, August 2-7, 1992. New York, NY: Plenum Press. 57-63 (1993). Reviewer: A.Klimyk (Kiev) MSC: 33D45 42C15 81R50 PDFBibTeX XMLCite \textit{R. Askey} et al., in: Symmetries in science VI: from the rotation group to quantum algebras. Proceedings of a symposium held in Bregenz, Austria, August 2-7, 1992. New York, NY: Plenum Press. 57--63 (1993; Zbl 0863.33020) Full Text: arXiv
Atakishiev, N. M.; Suslov, S. K. On the Askey-Wilson polynomials. (English) Zbl 0762.33004 Constructive Approximation 8, No. 3, 363-369 (1992). Reviewer: K.M.Saksena (Kanpur) MSC: 33C45 PDFBibTeX XMLCite \textit{N. M. Atakishiev} and \textit{S. K. Suslov}, Constr. Approx. 8, No. 3, 363--369 (1992; Zbl 0762.33004) Full Text: DOI
Atakishiyev, N. M.; Suslov, S. K. Difference hypergeometric functions. (English) Zbl 0787.33003 Gonchar, A. A. (ed.) et al., Progress in approximation theory. An international perspective. Proceedings of the international conference on approximation theory, Tampa, South Florida, USA, March 19-22, 1990. New York: Springer-Verlag. Springer Ser. Comput. Math. 19, 1-35 (1992). Reviewer: Y.Kobayashi (Tottori) MSC: 33C20 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} and \textit{S. K. Suslov}, Springer Ser. Comput. Math. 19, 1--35 (1992; Zbl 0787.33003)
Atakishiyev, N. M.; Suslov, S. K. Continuous orthogonality property for some classical polynomials of a discrete variable. (English) Zbl 1291.33008 Rev. Mex. Fís. 34, No. 4, 541-563 (1988). MSC: 33C45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} and \textit{S. K. Suslov}, Rev. Mex. Fís. 34, No. 4, 541--563 (1988; Zbl 1291.33008)
Atakishiyev, N. M.; Suslov, S. K. On the moments of classical and related polynomials. (English) Zbl 1291.33007 Rev. Mex. Fís. 34, No. 2, 147-151 (1988). MSC: 33C45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} and \textit{S. K. Suslov}, Rev. Mex. Fís. 34, No. 2, 147--151 (1988; Zbl 1291.33007)
Atakishiyev, N. M.; Suslov, S. K. Representaions of SO(3,1) and the Hahn polynomials. (English) Zbl 0663.33004 Group theoretical methods in physics, Proc. 3rd Semin., Yurmala/USSR 1985, Vol. 1, 523-530 (1986). Reviewer: N.M.Atakishiyev MSC: 33C45 33C80 22E45 PDFBibTeX XML
Atakishiev, N. M.; Suslov, S. K. The Hahn and Meixner polynomials of an imaginary argument and some of their applications. (English) Zbl 0582.33006 J. Phys. A 18, 1583-1596 (1985). MSC: 33C45 22E45 PDFBibTeX XMLCite \textit{N. M. Atakishiev} and \textit{S. K. Suslov}, J. Phys. A, Math. Gen. 18, 1583--1596 (1985; Zbl 0582.33006) Full Text: DOI