Koornwinder, Tom H. Dual addition formulas: the case of continuous \(q\)-ultraspherical and \(q\)-Hermite polynomials. (English) Zbl 07695113 Ramanujan J. 61, No. 2, 425-444 (2023). MSC: 33D45 PDF BibTeX XML Cite \textit{T. H. Koornwinder}, Ramanujan J. 61, No. 2, 425--444 (2023; Zbl 07695113) Full Text: DOI arXiv
Ismail, Mourad E. H.; Zhang, Ruiming; Zhou, Keru \(q\)-fractional Askey-Wilson integrals and related semigroups of operators. (English) Zbl 07631007 Physica D 442, Article ID 133534, 15 p. (2022). MSC: 47D03 26A33 33D45 41A35 PDF BibTeX XML Cite \textit{M. E. H. Ismail} et al., Physica D 442, Article ID 133534, 15 p. (2022; Zbl 07631007) Full Text: DOI arXiv
Riyasat, Mumtaz; Khan, Subuhi; Haneef, Mehnaz Generalized 2D extension of the \(q\)-Bessel polynomials. (English) Zbl 1504.33015 Rep. Math. Phys. 90, No. 1, 63-80 (2022). Reviewer: Thomas Ernst (Uppsala) MSC: 33D99 11B83 PDF BibTeX XML Cite \textit{M. Riyasat} et al., Rep. Math. Phys. 90, No. 1, 63--80 (2022; Zbl 1504.33015) Full Text: DOI
Szabłowski, Paweł J. Multivariate generating functions built from Chebyshev polynomials and some of their applications and generalizations. (English) Zbl 1492.42033 Colloq. Math. 169, No. 1, 141-170 (2022). MSC: 42C10 05A15 33C47 26B35 40B05 PDF BibTeX XML Cite \textit{P. J. Szabłowski}, Colloq. Math. 169, No. 1, 141--170 (2022; Zbl 1492.42033) Full Text: DOI arXiv
Riyasat, M.; Nahid, T.; Khan, S. Orthogonality associated with Bessel-type Sheffer sequences with Q-parameters. (English) Zbl 1509.33019 Math. Notes 111, No. 3, 441-454 (2022). MSC: 33D45 05A30 11B65 PDF BibTeX XML Cite \textit{M. Riyasat} et al., Math. Notes 111, No. 3, 441--454 (2022; Zbl 1509.33019) Full Text: DOI
Szabłowski, Paweł J. On the families of polynomials forming a part of the Askey-Wilson scheme and their probabilistic applications. (English) Zbl 1509.33020 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 25, No. 1, Article ID 2230001, 57 p. (2022). MSC: 33D45 05A30 42C05 60E05 PDF BibTeX XML Cite \textit{P. J. Szabłowski}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 25, No. 1, Article ID 2230001, 57 p. (2022; Zbl 1509.33020) Full Text: DOI arXiv
Raza, Nusrat; Fadel, Mohammed; Nisar, Kottakkaran Sooppy; Zakarya, M. On 2-variable \(q\)-Hermite polynomials. (English) Zbl 1485.33017 AIMS Math. 6, No. 8, 8705-8727 (2021). MSC: 33D15 05A30 PDF BibTeX XML Cite \textit{N. Raza} et al., AIMS Math. 6, No. 8, 8705--8727 (2021; Zbl 1485.33017) Full Text: DOI
Riley Casper, W.; Kolb, Stefan; Yakimov, Milen Bivariate continuous \(q\)-Hermite polynomials and deformed quantum Serre relations. (English) Zbl 1473.17042 J. Algebra Appl. 20, No. 1, Article ID 2140016, 28 p. (2021). Reviewer: Sonia Natale (Córdoba) MSC: 17B37 53C35 16T05 17B67 PDF BibTeX XML Cite \textit{W. Riley Casper} et al., J. Algebra Appl. 20, No. 1, Article ID 2140016, 28 p. (2021; Zbl 1473.17042) Full Text: DOI arXiv
Aloui, Baghdadi; Souissi, Jihad Hahn’s problem with respect to some perturbations of the raising operator \((X-c)\). (English) Zbl 1465.33014 Ural Math. J. 6, No. 2, 15-24 (2020). MSC: 33D45 33C45 42C05 PDF BibTeX XML Cite \textit{B. Aloui} and \textit{J. Souissi}, Ural Math. J. 6, No. 2, 15--24 (2020; Zbl 1465.33014) Full Text: DOI MNR
Kang, Jung Yoog; Khan, Waseem A. A new class of \(q\)-Hermite-based Apostol type Frobenius Genocchi polynomials. (English) Zbl 1461.05015 Commun. Korean Math. Soc. 35, No. 3, 759-771 (2020). MSC: 05A30 11B68 11B73 11B83 33C45 PDF BibTeX XML Cite \textit{J. Y. Kang} and \textit{W. A. Khan}, Commun. Korean Math. Soc. 35, No. 3, 759--771 (2020; Zbl 1461.05015) Full Text: DOI
Ismail, Mourad E. H.; Simeonov, Plamen Connection relations for \(q\)-Taylor polynomial bases. (English) Zbl 1435.33018 Adv. Appl. Math. 117, Article ID 102015, 20 p. (2020). MSC: 33D15 33D45 41A58 PDF BibTeX XML Cite \textit{M. E. H. Ismail} and \textit{P. Simeonov}, Adv. Appl. Math. 117, Article ID 102015, 20 p. (2020; Zbl 1435.33018) Full Text: DOI
Alwhishi, Sakina; Adigüzel, Rezan Sevinik; Turan, Mehmet On the limit of discrete \(q\)-Hermite I polynomials. (English) Zbl 1493.33005 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 68, No. 2, 2272-2282 (2019). Reviewer: Roberto S. Costas-Santos (Alcalá) MSC: 33C45 33D45 PDF BibTeX XML Cite \textit{S. Alwhishi} et al., Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 68, No. 2, 2272--2282 (2019; Zbl 1493.33005) Full Text: DOI
Riyasat, Mumtaz; Khan, Subuhi; Nahid, Tabinda Quantum algebra \(\varepsilon_q(2)\) and 2D \(q\)-Bessel functions. (English) Zbl 1441.17015 Rep. Math. Phys. 83, No. 2, 191-206 (2019). MSC: 17B37 33C10 33C99 PDF BibTeX XML Cite \textit{M. Riyasat} et al., Rep. Math. Phys. 83, No. 2, 191--206 (2019; Zbl 1441.17015) Full Text: DOI
Arjika, Sama Summation formula for generalized discrete \(q\)-Hermite II polynomials. (English) Zbl 1457.33002 Bull. Math. Anal. Appl. 11, No. 1, 44-54 (2019). MSC: 33C45 33D15 33D50 PDF BibTeX XML Cite \textit{S. Arjika}, Bull. Math. Anal. Appl. 11, No. 1, 44--54 (2019; Zbl 1457.33002) Full Text: arXiv Link
Yasmin, Ghazala; Muhyi, Abdulghani; Araci, Serkan Certain results of \(\mathfrak{q}\)-Sheffer-Appell polynomials. (English) Zbl 1416.05045 Symmetry 11, No. 2, Paper No. 159, 19 p. (2019). MSC: 05A30 11B83 11B68 PDF BibTeX XML Cite \textit{G. Yasmin} et al., Symmetry 11, No. 2, Paper No. 159, 19 p. (2019; Zbl 1416.05045) Full Text: DOI
Szabłowski, Paweł J. On three dimensional multivariate version of \(q\)-normal distribution and probabilistic interpretations of Askey-Wilson, Al-Salam-Chihara and \(q\)-ultraspherical polynomials. (English) Zbl 1478.60061 J. Math. Anal. Appl. 474, No. 2, 1021-1035 (2019). MSC: 60E05 33C47 PDF BibTeX XML Cite \textit{P. J. Szabłowski}, J. Math. Anal. Appl. 474, No. 2, 1021--1035 (2019; Zbl 1478.60061) Full Text: DOI arXiv
Khan, Subuhi; Nahid, Tabinda Determinant forms, difference equations and zeros of the \(q\)-Hermite-Appell polynomials. (English) Zbl 1402.11030 Mathematics 6, No. 11, Paper No. 258, 16 p. (2018). MSC: 11B65 11B37 PDF BibTeX XML Cite \textit{S. Khan} and \textit{T. Nahid}, Mathematics 6, No. 11, Paper No. 258, 16 p. (2018; Zbl 1402.11030) Full Text: DOI
Riyasat, Mumtaz; Khan, Subuhi Some results on \(q\)-Hermite based hybrid polynomials. (English) Zbl 1445.11016 Glas. Mat., III. Ser. 53, No. 1, 9-31 (2018). MSC: 11B73 11B83 11B68 PDF BibTeX XML Cite \textit{M. Riyasat} and \textit{S. Khan}, Glas. Mat., III. Ser. 53, No. 1, 9--31 (2018; Zbl 1445.11016) Full Text: DOI
Kızılateş, Can; Çekim, Bayram New families of generating functions for \(q\)-Fibonacci and the related polynomials. (English) Zbl 1413.11034 Ars Comb. 136, 397-404 (2018). MSC: 11B39 05A30 11B65 05A15 PDF BibTeX XML Cite \textit{C. Kızılateş} and \textit{B. Çekim}, Ars Comb. 136, 397--404 (2018; Zbl 1413.11034)
Salem, Ahmed On the discrete \(q\)-Hermite matrix polynomials. (English) Zbl 1397.33010 Int. J. Appl. Comput. Math. 3, No. 4, 3147-3158 (2017). MSC: 33D45 15A16 PDF BibTeX XML Cite \textit{A. Salem}, Int. J. Appl. Comput. Math. 3, No. 4, 3147--3158 (2017; Zbl 1397.33010) Full Text: DOI
Jafarov, Elchin I.; Jafarova, Aynura M.; Oste, Roy Exactly solvable model of the one-dimensional confined harmonic oscillator. (English) Zbl 07619190 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 36, No. 4, Math., 122-130 (2016). MSC: 81Q80 33D45 PDF BibTeX XML Cite \textit{E. I. Jafarov} et al., Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 36, No. 4, Math., 122--130 (2016; Zbl 07619190) Full Text: Link
Szabłowski, Paweł J. Around Poisson-Mehler summation formula. (English) Zbl 1370.41015 Hacet. J. Math. Stat. 45, No. 6, 1729-1742 (2016). MSC: 41A10 33D45 42C05 60E05 PDF BibTeX XML Cite \textit{P. J. Szabłowski}, Hacet. J. Math. Stat. 45, No. 6, 1729--1742 (2016; Zbl 1370.41015) Full Text: DOI arXiv
Ismail, Mourad E. H.; Zhang, Ruiming Kibble-Slepian formula and generating functions for 2D polynomials. (English) Zbl 1347.33022 Adv. Appl. Math. 80, 70-92 (2016). MSC: 33C45 42C20 PDF BibTeX XML Cite \textit{M. E. H. Ismail} and \textit{R. Zhang}, Adv. Appl. Math. 80, 70--92 (2016; Zbl 1347.33022) Full Text: DOI arXiv
Fakhri, H.; Hashemi, A. The symmetric \(q\)-oscillator algebra: \(q\)-coherent states, \(q\)-Bargmann-Fock realization and continuous \(q\)-Hermite polynomials with \(0<q<1\). (English) Zbl 1405.81048 Int. J. Geom. Methods Mod. Phys. 13, No. 3, Article ID 1650028, 16 p. (2016). MSC: 81R30 05A30 33D45 81R50 PDF BibTeX XML Cite \textit{H. Fakhri} and \textit{A. Hashemi}, Int. J. Geom. Methods Mod. Phys. 13, No. 3, Article ID 1650028, 16 p. (2016; Zbl 1405.81048) Full Text: DOI
Chung, Won Sang; Hounkonnou, Mahouton Norbert; Sama, Arjika New \(q\)-Hermite polynomials: characterization, operators algebra and associated coherent states. (English) Zbl 1338.81231 Fortschr. Phys. 63, No. 1, 42-53 (2015). MSC: 81R30 81Q50 17B37 55U15 33C45 81V70 PDF BibTeX XML Cite \textit{W. S. Chung} et al., Fortschr. Phys. 63, No. 1, 42--53 (2015; Zbl 1338.81231) Full Text: DOI arXiv
Hounkonnou, Mahouton Norbert; Arjika, Sama; Chung, Won Sang New families of \(q\) and \((q; p)\)-Hermite polynomials. (English) Zbl 1333.33016 SUT J. Math. 51, No. 1, 11-29 (2015). MSC: 33C45 05A30 11B65 PDF BibTeX XML Cite \textit{M. N. Hounkonnou} et al., SUT J. Math. 51, No. 1, 11--29 (2015; Zbl 1333.33016) Full Text: arXiv
Brennan, Joseph P.; Van Gorder, Robert A. The generalized lucky ticket problem, perfect matchings, and closure relations satisfied by the Chebyshev and \(q\)-Hermite polynomials. (English) Zbl 1410.05004 Ramanujan J. 37, No. 2, 269-289 (2015). MSC: 05A15 11A63 05C70 33D45 PDF BibTeX XML Cite \textit{J. P. Brennan} and \textit{R. A. Van Gorder}, Ramanujan J. 37, No. 2, 269--289 (2015; Zbl 1410.05004) Full Text: DOI
Zhang, Ruiming; Chen, Li-Chen An operator approach to the inversion of certain Hankel matrices. (English) Zbl 1309.15011 Linear Algebra Appl. 470, 70-80 (2015). MSC: 15A09 15B05 33D45 15A15 PDF BibTeX XML Cite \textit{R. Zhang} and \textit{L.-C. Chen}, Linear Algebra Appl. 470, 70--80 (2015; Zbl 1309.15011) Full Text: DOI
Szabłowski, Paweł J. Askey-Wilson integral and its generalizations. (English) Zbl 1347.33038 Adv. Difference Equ. 2014, Paper No. 316, 19 p. (2014). MSC: 33D45 05A30 05E05 PDF BibTeX XML Cite \textit{P. J. Szabłowski}, Adv. Difference Equ. 2014, Paper No. 316, 19 p. (2014; Zbl 1347.33038) Full Text: DOI arXiv
Mahmudov, Nazim I. Difference equations of \(q\)-Appell polynomials. (English) Zbl 1335.39016 Appl. Math. Comput. 245, 539-543 (2014). MSC: 39A13 PDF BibTeX XML Cite \textit{N. I. Mahmudov}, Appl. Math. Comput. 245, 539--543 (2014; Zbl 1335.39016) Full Text: DOI arXiv
Jazmati, M. Saleh; Mezlini, Kamel; Bettaibi, Neji Generalized \(q\)-Hermite polynomials and the \(q\)-Dunkl heat equation. (English) Zbl 1408.33031 Bull. Math. Anal. Appl. 6, No. 4, 16-43 (2014). MSC: 33D45 33D50 33D90 PDF BibTeX XML Cite \textit{M. S. Jazmati} et al., Bull. Math. Anal. Appl. 6, No. 4, 16--43 (2014; Zbl 1408.33031) Full Text: Link
Szabłowski, Paweł J. Befriending Askey-Wilson polynomials. (English) Zbl 1301.33025 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17, No. 3, Article ID 1450015, 25 p. (2014). MSC: 33D45 33D65 42C10 60E05 42C05 05A30 PDF BibTeX XML Cite \textit{P. J. Szabłowski}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17, No. 3, Article ID 1450015, 25 p. (2014; Zbl 1301.33025) Full Text: DOI arXiv
Chung, Won Sang; Jung, Min Some properties concerning \(q\)-derivatives and \(q\)-Hermite polynomial. (English) Zbl 1298.33027 Adv. Stud. Contemp. Math., Kyungshang 24, No. 1, 149-153 (2014). MSC: 33D45 PDF BibTeX XML Cite \textit{W. S. Chung} and \textit{M. Jung}, Adv. Stud. Contemp. Math., Kyungshang 24, No. 1, 149--153 (2014; Zbl 1298.33027)
Ben Cheikh, Youssèf; Gaied, Mohamed; Zaghouani, Ali \(q\)-Dunkl-classical \(q\)-Hermite type polynomials. (English) Zbl 1296.33017 Georgian Math. J. 21, No. 2, 125-137 (2014). MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{Y. Ben Cheikh} et al., Georgian Math. J. 21, No. 2, 125--137 (2014; Zbl 1296.33017) Full Text: DOI
Cao, Jian Some integrals involving \(q\)-Laguerre polynomials and applications. (English) Zbl 1329.33024 Abstr. Appl. Anal. 2013, Article ID 302642, 13 p. (2013). Reviewer: Kenier Castillo (Coimbra) MSC: 33D45 33C45 PDF BibTeX XML Cite \textit{J. Cao}, Abstr. Appl. Anal. 2013, Article ID 302642, 13 p. (2013; Zbl 1329.33024) Full Text: DOI
Lamiri, Imed \(d\)-orthogonality of discrete \(q\)-Hermite type polynomials. (English) Zbl 1284.33013 J. Approx. Theory 170, 116-133 (2013). Reviewer: Jeremy Lovejoy (Paris) MSC: 33D45 33D15 PDF BibTeX XML Cite \textit{I. Lamiri}, J. Approx. Theory 170, 116--133 (2013; Zbl 1284.33013) Full Text: DOI
Lee, Hun Hee; Obata, Nobuaki Distance-\(k\) graphs of hypercube and \(q\)-Hermite polynomials. (English) Zbl 1275.46051 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 16, No. 2, Article ID 1350011, 12 p. (2013). MSC: 46L53 05C50 PDF BibTeX XML Cite \textit{H. H. Lee} and \textit{N. Obata}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 16, No. 2, Article ID 1350011, 12 p. (2013; Zbl 1275.46051) Full Text: DOI arXiv
Szabłowski, Paweł J. On summable, positive Poisson-Mehler kernels built of Al-Salam-Chihara and related polynomials. (English) Zbl 1266.33018 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 15, No. 3, Paper No. 1250014, 18 p. (2012). Reviewer: Roelof Koekoek (Delft) MSC: 33D45 05A30 42A16 60E05 PDF BibTeX XML Cite \textit{P. J. Szabłowski}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 15, No. 3, Paper No. 1250014, 18 p. (2012; Zbl 1266.33018) Full Text: DOI arXiv
Szabłowski, Paweł J. Towards a \(q\)-analogue of the Kibble-Slepian formula in 3 dimensions. (English) Zbl 1236.33035 J. Funct. Anal. 262, No. 1, 210-233 (2012). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33D45 33C45 PDF BibTeX XML Cite \textit{P. J. Szabłowski}, J. Funct. Anal. 262, No. 1, 210--233 (2012; Zbl 1236.33035) Full Text: DOI arXiv
Kumbhat, R. K.; Gupta, R. K.; Chauhan, Madhu \(q\)-operational formulae for a class of \(q\)-polynomials unifying the generalized \(q\)-Hermite and \(q\)-Laguerre polynomials. (English) Zbl 1257.33033 Jñānābha 41, 73-80 (2011). MSC: 33D05 33D45 33D50 PDF BibTeX XML Cite \textit{R. K. Kumbhat} et al., Jñānābha 41, 73--80 (2011; Zbl 1257.33033)
Kim, T.; Choi, J.; Kim, Y. H.; Ryoo, C. S. On \(q\)-Bernstein and \(q\)-Hermite polynomials. (English) Zbl 1256.05024 Proc. Jangjeon Math. Soc. 14, No. 2, 215-221 (2011). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 05A30 05A19 33D45 PDF BibTeX XML Cite \textit{T. Kim} et al., Proc. Jangjeon Math. Soc. 14, No. 2, 215--221 (2011; Zbl 1256.05024) Full Text: arXiv
Szabłowski, Paweł J. Expansions of one density via polynomials orthogonal with respect to the other. (English) Zbl 1232.33019 J. Math. Anal. Appl. 383, No. 1, 35-54 (2011). Reviewer: Carsten Schneider (Linz) MSC: 33C45 PDF BibTeX XML Cite \textit{P. J. Szabłowski}, J. Math. Anal. Appl. 383, No. 1, 35--54 (2011; Zbl 1232.33019) Full Text: DOI arXiv
Szabłowski, Paweł J. On the structure and probabilistic interpretation of Askey-Wilson densities and polynomials with complex parameters. (English) Zbl 1222.33016 J. Funct. Anal. 261, No. 3, 635-659 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33D45 42C05 PDF BibTeX XML Cite \textit{P. J. Szabłowski}, J. Funct. Anal. 261, No. 3, 635--659 (2011; Zbl 1222.33016) Full Text: DOI arXiv
Cigler, Johann; Zeng, Jiang A curious \(q\)-analogue of Hermite polynomials. (English) Zbl 1232.33012 J. Comb. Theory, Ser. A 118, No. 1, 9-26 (2011). Reviewer: M. Rafiq Omar (Bellville) MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{J. Cigler} and \textit{J. Zeng}, J. Comb. Theory, Ser. A 118, No. 1, 9--26 (2011; Zbl 1232.33012) Full Text: DOI arXiv
Jagannathan, Ramaswamy; Sridhar, Raghavendra \((p,q)\)-Rogers-Szegö polynomial and the \((p,q)\)-oscillator. (English) Zbl 1323.33018 Alladi, Krishnaswami (ed.) et al., The legacy of Alladi Ramakrishnan in the mathematical sciences. New York, NY: Springer (ISBN 978-1-4419-6262-1/hbk; 978-1-4419-6263-8/ebook). 491-501 (2010). MSC: 33D45 33D80 33D90 05A30 PDF BibTeX XML Cite \textit{R. Jagannathan} and \textit{R. Sridhar}, in: The legacy of Alladi Ramakrishnan in the mathematical sciences. New York, NY: Springer. 491--501 (2010; Zbl 1323.33018) Full Text: DOI arXiv
Ernst, Thomas On the \(q\)-Hermite Cigler polynomials. (Sur les polynomes \(q\)-Hermite de Cigler.) (French. English summary) Zbl 1248.33032 Algebras Groups Geom. 27, No. 2, 121-142 (2010). Reviewer: Toufik Mansour (Haifa) MSC: 33D45 PDF BibTeX XML Cite \textit{T. Ernst}, Algebras Groups Geom. 27, No. 2, 121--142 (2010; Zbl 1248.33032)
Nalci, Sengul; Pashaev, Oktay K. \(q\)-analog of shock soliton solution. (English) Zbl 1203.35196 J. Phys. A, Math. Theor. 43, No. 44, Article ID 445205, 11 p. (2010). MSC: 35Q51 17B37 35C07 PDF BibTeX XML Cite \textit{S. Nalci} and \textit{O. K. Pashaev}, J. Phys. A, Math. Theor. 43, No. 44, Article ID 445205, 11 p. (2010; Zbl 1203.35196) Full Text: DOI arXiv
Kyriakoussis, Andreas George; Vamvakari, Malvina G. On a \(q\)-steady state Markov chain model based on transformed dual \(q\)-Krawtchouk orthogonal polynomials and its limiting behaviour. (English) Zbl 1206.60069 Methodol. Comput. Appl. Probab. 12, No. 4, 667-679 (2010). Reviewer: Sergei V. Rogosin (Minsk) MSC: 60J10 33C47 65D20 60J80 PDF BibTeX XML Cite \textit{A. G. Kyriakoussis} and \textit{M. G. Vamvakari}, Methodol. Comput. Appl. Probab. 12, No. 4, 667--679 (2010; Zbl 1206.60069) 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 PDF BibTeX XML Cite \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
Hounkonnou, M. N.; Nkouankam, E. B. Ngompe Factorization of the \(q\)-difference equation for continuous \(q\)-Jacobi polynomials. (English) Zbl 1134.39019 J. Phys. A, Math. Theor. 41, No. 4, Article ID 045202, 7 p. (2008). MSC: 39A13 33C45 PDF BibTeX XML Cite \textit{M. N. Hounkonnou} and \textit{E. B. N. Nkouankam}, J. Phys. A, Math. Theor. 41, No. 4, Article ID 045202, 7 p. (2008; Zbl 1134.39019) Full Text: DOI
Bożejko, Marek Remarks on \(q\)-CCR relations for \(|q|>1\). (English) Zbl 1140.46323 Bozejko, Marek (ed.) et al., Noncommutative harmonic analysis with applications to probability. Papers presented at the 9th workshop, Bȩdlewo, Poland, September 29–October 10, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 78, 59-67 (2008). MSC: 46L53 81S05 PDF BibTeX XML Cite \textit{M. Bożejko}, Banach Cent. Publ. 78, 59--67 (2008; Zbl 1140.46323)
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 PDF BibTeX XML Cite \textit{M. Arik} et al., Int. J. Difference Equ. 1, No. 2, 195--204 (2006; Zbl 1153.33307)
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 PDF BibTeX XML Cite \textit{N. M. Atakishiyev} et al., Int. J. Pure Appl. Math. 26, No. 2, 275--284 (2006; Zbl 1091.33015)
Suslov, Sergei An analog of the Cauchy-Hadamard formula for expansions in \(q\)-polynomials. (English) Zbl 1219.33021 Ismail, Mourad E. H. (ed.) et al., Theory and applications of special functions. A volume dedicated to Mizan Rahman. Papers from the special session of the American Mathematical Society annual meeting held in Baltimore, MD, USA, January 15–18, 2003. New York, NY: Springer (ISBN 0-387-24231-7). Developments in Mathematics 13, 443-460 (2005). MSC: 33D15 PDF BibTeX XML Cite \textit{S. Suslov}, Dev. Math. 13, 443--460 (2005; Zbl 1219.33021) Full Text: DOI
Anshelevich, Michael Linearization coefficients for orthogonal polynomials using stochastic processes. (English) Zbl 1092.05076 Ann. Probab. 33, No. 1, 114-136 (2005). MSC: 05E35 05A18 05A30 46L53 60G51 PDF BibTeX XML Cite \textit{M. Anshelevich}, Ann. Probab. 33, No. 1, 114--136 (2005; Zbl 1092.05076) Full Text: DOI arXiv
Kyriakoussis, A.; Vamvakari, M. G. Generalization of matching extensions in graphs – combinatorial interpretation of orthogonal and \(q\)-orthogonal polynomials. (English) Zbl 1066.05112 Discrete Math. 296, No. 2-3, 199-209 (2005). MSC: 05C70 05C38 05E35 33C45 PDF BibTeX XML Cite \textit{A. Kyriakoussis} and \textit{M. G. Vamvakari}, Discrete Math. 296, No. 2--3, 199--209 (2005; Zbl 1066.05112) Full Text: DOI
Bryc, Wlodzimierz; Matysiak, Wojciech; Szablowski, Paweł J. Probabilistic aspects of Al-Salam–Chihara polynomials. (English) Zbl 1074.33015 Proc. Am. Math. Soc. 133, No. 4, 1127-1134 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 05A30 15A15 42C05 PDF BibTeX XML Cite \textit{W. Bryc} et al., Proc. Am. Math. Soc. 133, No. 4, 1127--1134 (2005; Zbl 1074.33015) Full Text: DOI arXiv
Ey, Kristine; Ruffing, Andreas On Rodriguez representations for discrete \(q\)-Hermite polynomials of type II. (English) Zbl 1075.33012 Dyn. Syst. Appl. 13, No. 3-4, 397-407 (2004). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 39A10 39A13 47B39 47B36 PDF BibTeX XML Cite \textit{K. Ey} and \textit{A. Ruffing}, Dyn. Syst. Appl. 13, No. 3--4, 397--407 (2004; Zbl 1075.33012)
Ismail, M. E. H.; Stanton, D. Tribasic integrals and identities of Rogers-Ramanujan type. (English) Zbl 1033.33012 Trans. Am. Math. Soc. 355, No. 10, 4061-4091 (2003). Reviewer: Shaun Cooper (Auckland) MSC: 33D45 33E20 05A17 11P99 PDF BibTeX XML Cite \textit{M. E. H. Ismail} and \textit{D. Stanton}, Trans. Am. Math. Soc. 355, No. 10, 4061--4091 (2003; Zbl 1033.33012) Full Text: DOI
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 PDF BibTeX XML Cite \textit{R. Álvarez-Nodarse} et al., J. Comput. Appl. Math. 153, No. 1--2, 9--18 (2003; Zbl 1020.44007) Full Text: DOI
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 PDF BibTeX XML Cite \textit{R. Álvarez-Nodarse} et al., Bol. Soc. Mat. Mex., III. Ser. 8, No. 2, 127--139 (2002; Zbl 1024.33015)
Ismail, Mourad E. H.; Stanton, Dennis \(q\)-integral and moment representations for \(q\)-orthogonal polynomials. (English) Zbl 1009.33015 Can. J. Math. 54, No. 4, 709-735 (2002). Reviewer: Roelof Koekoek (Delft) MSC: 33D45 30E05 33D15 33C45 PDF BibTeX XML Cite \textit{M. E. H. Ismail} and \textit{D. Stanton}, Can. J. Math. 54, No. 4, 709--735 (2002; Zbl 1009.33015) Full Text: DOI
Ngo, Quang Hung \(\mathbb{P}\)-species and the \(q\)-Mehler formula. (English) Zbl 1005.33006 Sémin. Lothar. Comb. 48, B48b, 21 p. (2002). Reviewer: Som Prakash Goyal (Jaipur) MSC: 33D45 PDF BibTeX XML Cite \textit{Q. H. Ngo}, Sémin. Lothar. Comb. 48, B48b, 21 p. (2002; Zbl 1005.33006) Full Text: EuDML EMIS
Bryc, Włodzimierz Stationary random fields with linear regressions. (English) Zbl 1014.60013 Ann. Probab. 29, No. 1, 504-519 (2001). Reviewer: Jiří Anděl (Praha) MSC: 60E99 60G10 PDF BibTeX XML Cite \textit{W. Bryc}, Ann. Probab. 29, No. 1, 504--519 (2001; Zbl 1014.60013) Full Text: DOI arXiv
Ismail, Mourad E. H. An operator calculus for the Askey-Wilson operator. (English) Zbl 0988.05016 Ann. Comb. 5, No. 3-4, 347-362 (2001). MSC: 05A40 05A30 33D45 PDF BibTeX XML Cite \textit{M. E. H. Ismail}, Ann. Comb. 5, No. 3--4, 347--362 (2001; Zbl 0988.05016) Full Text: DOI
Berg, Christian; Ruffing, Andreas Generalized \(q\)-Hermite polynomials. (English) Zbl 0989.81004 Commun. Math. Phys. 223, No. 1, 29-46 (2001). MSC: 81P10 33D45 81R50 47B39 33D90 PDF BibTeX XML Cite \textit{C. Berg} and \textit{A. Ruffing}, Commun. Math. Phys. 223, No. 1, 29--46 (2001; Zbl 0989.81004) Full Text: DOI
Cappelli, A.; Colomo, F. Frustrated magnetic systems and the \(q\)-oscillator. (English) Zbl 0980.82017 J. Math. Sci., New York 104, No. 3, 1120-1127 (2001) and Zap. Nauchn. Semin. POMI 251, 57-68 (1998). MSC: 82B44 81R50 82B20 82D40 82D30 PDF BibTeX XML Cite \textit{A. Cappelli} and \textit{F. Colomo}, J. Math. Sci., New York 104, No. 3, 1120--1127 (2001) and Zap. Nauchn. Semin. POMI 251, 57--68 (2001; Zbl 0980.82017) Full Text: DOI
Suslov, Sergei Another addition theorem for the \(q\)-exponential function. (English) Zbl 0980.33012 J. Phys. A, Math. Gen. 33, No. 41, L375-L380 (2000). Reviewer: Roelof Koekoek (Delft) MSC: 33D15 39A13 PDF BibTeX XML Cite \textit{S. Suslov}, J. Phys. A, Math. Gen. 33, No. 41, L375--L380 (2000; Zbl 0980.33012) Full Text: DOI
Bowman, Douglas An easy proof of the Askey-Wilson integral and applications of the method. (English) Zbl 0952.33004 J. Math. Anal. Appl. 245, No. 2, 560-569 (2000). Reviewer: S.P.Goyal (Jaipur) MSC: 33C45 PDF BibTeX XML Cite \textit{D. Bowman}, J. Math. Anal. Appl. 245, No. 2, 560--569 (2000; Zbl 0952.33004) Full Text: DOI
Atakishiyev, N. M. Fourier-Gauss transforms of \(q\)-exponential and \(q\)-Bessel functions. (English) Zbl 0924.44005 Clarkson, Peter A. (ed.) et al., Symmetries and integrability of difference equations. Proceedings of the 2nd international conference, Canterbury, UK, July 1–5, 1996. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 255, 345-352 (1999). MSC: 44A20 42A38 33D70 PDF BibTeX XML Cite \textit{N. M. Atakishiyev}, Lond. Math. Soc. Lect. Note Ser. 255, 345--352 (1999; Zbl 0924.44005)
Berg, Christian On some indeterminate moment problems for measures on a geometric progression. (English) Zbl 0929.44004 J. Comput. Appl. Math. 99, No. 1-2, 67-75 (1998). Reviewer: Semen B.Yakubovich (Eindhoven) MSC: 44A60 33D45 PDF BibTeX XML Cite \textit{C. Berg}, J. Comput. Appl. Math. 99, No. 1--2, 67--75 (1998; Zbl 0929.44004) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. K. Atakishiyeva} et al., J. Comput. Appl. Math. 99, No. 1--2, 27--35 (1998; Zbl 0930.33008) 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 PDF BibTeX XML Cite \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
Liu, Zhi-Guo \(q\)-Hermite polynomials and a \(q\)-beta integral. (English) Zbl 0906.33008 Northeast. Math. J. 13, No. 3, 361-366 (1997). Reviewer: Arun Kumar Agarwal (Grambling) MSC: 33D15 33D45 PDF BibTeX XML Cite \textit{Z.-G. Liu}, Northeast. Math. J. 13, No. 3, 361--366 (1997; Zbl 0906.33008)
Negro, Javier The factorization method and hierarchies of \(q\)-oscillator Hamiltonians. (English) Zbl 0856.39020 Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Papers from the workshop, May 22–29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 9, 239-251 (1996). MSC: 39A12 33D90 81R50 PDF BibTeX XML Cite \textit{J. Negro}, in: Symmetries and integrability of difference equations. Papers from the workshop, May 22--29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. 239--251 (1996; Zbl 0856.39020)
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 PDF BibTeX XML Cite \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
Nagiev, Sh. M. Difference Schrödinger equation and \(q\)-oscillator model. (English. Russian original) Zbl 0853.39009 Theor. Math. Phys. 102, No. 2, 180-187 (1995); translation from Teor. Mat. Fiz. 102, No. 2, 247-257 (1995). MSC: 39A12 33D45 17B37 PDF BibTeX XML Cite \textit{Sh. M. Nagiev}, Theor. Math. Phys. 102, No. 2, 180--187 (1995; Zbl 0853.39009); translation from Teor. Mat. Fiz. 102, No. 2, 247--257 (1995) Full Text: DOI
Floreanini, Roberto; Vinet, Luc A model for the continuous \(q\)-ultraspherical polynomials. (English) Zbl 0847.33010 J. Math. Phys. 36, No. 7, 3800-3813 (1995). Reviewer: A.N.Srivastava (Puna) MSC: 33D80 17B37 81R50 33D90 33D15 PDF BibTeX XML Cite \textit{R. Floreanini} and \textit{L. Vinet}, J. Math. Phys. 36, No. 7, 3800--3813 (1995; Zbl 0847.33010) Full Text: DOI arXiv
Kirillov, A. A. On the number of solutions to the equation \(X^ 2=0\) in triangular matrices over a finite field. (English. Russian original) Zbl 0873.17013 Funct. Anal. Appl. 29, No. 1, 64-68 (1995); translation from Funkts. Anal. Prilozh. 29, No. 1, 82-87 (1995). Reviewer: V.A.Artamonov (Moskva) MSC: 17B30 15B33 PDF BibTeX XML Cite \textit{A. A. Kirillov}, Funct. Anal. Appl. 29, No. 1, 64--68 (1995; Zbl 0873.17013); translation from Funkts. Anal. Prilozh. 29, No. 1, 82--87 (1995) Full Text: DOI
Floreanini, Roberto; Vinet, Luc Symmetries of the \(q\)-difference heat equations and discrete \(q\)-Hermite polynomials. (English) Zbl 0899.39001 Arima, A. (ed.) et al., Yamada conference XL. Proceedings of the XXth international colloquium on group theoretical methods in physics, Toyonaka, Japan, July 4-9, 1994. Singapore: World Scientific. 491-494 (1995). MSC: 39A10 33D90 PDF BibTeX XML Cite \textit{R. Floreanini} and \textit{L. Vinet}, in: Yamada conference XL. Proceedings of the XXth international colloquium on group theoretical methods in physics, Toyonaka, Japan, July 4-9, 1994. Singapore: World Scientific. 491--494 (1995; Zbl 0899.39001)
Burban, Ivan M.; Klimyk, Anatoli U. \(P,Q\)-differentiation, \(P,Q\)-integration, and \(P,Q\)-hypergeometric functions related to quantum groups. (English) Zbl 0823.33010 Integral Transforms Spec. Funct. 2, No. 1, 15-36 (1994). MSC: 33D15 33D45 33D60 33D80 17B37 39A70 47B25 81R50 PDF BibTeX XML Cite \textit{I. M. Burban} and \textit{A. U. Klimyk}, Integral Transforms Spec. Funct. 2, No. 1, 15--36 (1994; Zbl 0823.33010) Full Text: DOI
Ismail, M. E. H.; Masson, D. R. \(q\)-Hermite polynomials, biorthogonal rational functions, and \(q\)-beta integrals. (English) Zbl 0812.33012 Trans. Am. Math. Soc. 346, No. 1, 63-116 (1994). Reviewer: R.Askey (Madison) MSC: 33D45 33D05 42A65 30E05 PDF BibTeX XML Cite \textit{M. E. H. Ismail} and \textit{D. R. Masson}, Trans. Am. Math. Soc. 346, No. 1, 63--116 (1994; Zbl 0812.33012) Full Text: DOI
Floreanini, Roberto; Vinet, Luc Symmetries of the \(q\)-difference heat equation. (English) Zbl 0805.39008 Lett. Math. Phys. 32, No. 1, 37-44 (1994). Reviewer: E.Trofimtchouk (Kiev) MSC: 39A10 81R99 33D45 33D80 PDF BibTeX XML Cite \textit{R. Floreanini} and \textit{L. Vinet}, Lett. Math. Phys. 32, No. 1, 37--44 (1994; Zbl 0805.39008) Full Text: DOI
Askey, R. Finite differences and orthogonal polynomials. (English) Zbl 0801.33005 Rend. Mat. Appl., VII. Ser. 14, No. 1, 135-144 (1994). Reviewer: M.Voit (Tübingen) MSC: 33C15 33D15 PDF BibTeX XML Cite \textit{R. Askey}, Rend. Mat. Appl., VII. Ser. 14, No. 1, 135--144 (1994; Zbl 0801.33005)
Nijhoff, F. W. On a \(q\)-deformation of the discrete Painlevé I equation and \(q\)- orthogonal polynomials. (English) Zbl 0795.39003 Lett. Math. Phys. 30, No. 4, 327-336 (1994). Reviewer: D.Bobrowski (Poznań) MSC: 39A12 33D70 81R50 17B37 PDF BibTeX XML Cite \textit{F. W. Nijhoff}, Lett. Math. Phys. 30, No. 4, 327--336 (1994; Zbl 0795.39003) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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
Zhedanov, A. S. Weyl shift of \(q\)-oscillator and \(q\)-polynomials. (English. Russian original) Zbl 0794.33013 Theor. Math. Phys. 94, No. 2, 219-224 (1993); translation from Teor. Mat. Fiz. 94, No. 2, 307-315 (1993). MSC: 33D70 81R50 33D80 81R30 PDF BibTeX XML Cite \textit{A. S. Zhedanov}, Theor. Math. Phys. 94, No. 2, 1 (1993; Zbl 0794.33013); translation from Teor. Mat. Fiz. 94, No. 2, 307--315 (1993) Full Text: DOI
Burban, I. M.; Klimyk, A. U. On spectral properties of \(q\)-oscillator operators. (English) Zbl 0789.17007 Lett. Math. Phys. 29, No. 1, 13-18 (1993). MSC: 17B37 33D45 81R50 PDF BibTeX XML Cite \textit{I. M. Burban} and \textit{A. U. Klimyk}, Lett. Math. Phys. 29, No. 1, 13--18 (1993; Zbl 0789.17007) Full Text: DOI
Ismail, Mourad E. H.; Masson, David R. Extremal measures for q-Hermite polynomials when \(q>1\). (English) Zbl 0770.33011 C. R. Math. Acad. Sci., Soc. R. Can. 15, No. 1, 7-12 (1993). Reviewer: A.N.Srivastava (Pune) MSC: 33D45 33D05 33D99 44A60 PDF BibTeX XML Cite \textit{M. E. H. Ismail} and \textit{D. R. Masson}, C. R. Math. Acad. Sci., Soc. R. Can. 15, No. 1, 7--12 (1993; Zbl 0770.33011)
Van der Jeugt, Joris The \(q\)-boson operator algebra and \(q\)-Hermite polynomials. (English) Zbl 0760.17016 Lett. Math. Phys. 24, No. 4, 267-274 (1992). Reviewer: A.Klimyk (Kiev) MSC: 17B37 33D45 81R50 PDF BibTeX XML Cite \textit{J. Van der Jeugt}, Lett. Math. Phys. 24, No. 4, 267--274 (1992; Zbl 0760.17016) Full Text: DOI
Exton, Harold On a q-deformed harmonic oscillator with variable linear momentum. (English) Zbl 0790.34037 Collect. Math. 43, No. 3, 187-190 (1992). MSC: 34C15 34L40 81Q05 33C45 PDF BibTeX XML Cite \textit{H. Exton}, Collect. Math. 43, No. 3, 187--190 (1992; Zbl 0790.34037) Full Text: EuDML
Speicher, Roland A non-commutative central limit theorem. (English) Zbl 0724.60023 Math. Z. 209, No. 1, 55-66 (1992). Reviewer: R.Speicher MSC: 60F05 46L51 46L53 46L54 PDF BibTeX XML Cite \textit{R. Speicher}, Math. Z. 209, No. 1, 55--66 (1992; Zbl 0724.60023) Full Text: DOI EuDML
Floreanini, Roberto; Vinet, Luc \(q\)-orthogonal polynomials and the oscillator quantum group. (English) Zbl 0745.33008 Lett. Math. Phys. 22, No. 1, 45-54 (1991). MSC: 33D80 17B37 16W30 33D45 PDF BibTeX XML Cite \textit{R. Floreanini} and \textit{L. Vinet}, Lett. Math. Phys. 22, No. 1, 45--54 (1991; Zbl 0745.33008) Full Text: DOI
Mazel, David S.; Geronimo, Jeffery S.; Hayes, Monson H. III On the geometric sequences of reflection coefficients. (English) Zbl 0714.33009 IEEE Trans. Acoust. Speech Signal Process. 38, No. 10, 1810-1812 (1990). Reviewer: R.Askey MSC: 33C50 PDF BibTeX XML Cite \textit{D. S. Mazel} et al., IEEE Trans. Acoust. Speech Signal Process. 38, No. 10, 1810--1812 (1990; Zbl 0714.33009) Full Text: DOI
Gasper, George; Rahman, Mizan Basic hypergeometric series. (English) Zbl 0695.33001 Encyclopedia of Mathematics and Its Applications, 35. Cambridge etc.: Cambridge University Press. xx, 287 p. £35.00; $ 59.50 (1990). Reviewer: Ram Kishore Saxena (Jodhpur, India) MSC: 33Dxx 33-01 33-02 05A30 05E35 PDF BibTeX XML Cite \textit{G. Gasper} and \textit{M. Rahman}, Basic hypergeometric series. Cambridge etc.: Cambridge University Press (1990; Zbl 0695.33001)
Askey, Richard Continuous q-Hermite polynomials when \(q>1\). (English) Zbl 0694.33006 q-Series and partitions, Proc. Workshop, Minneapolis/MN (USA) 1988, IMA Vol. Math. Appl. 18, 151-158 (1989). Reviewer: R.Askey MSC: 33C45 PDF BibTeX XML
Srivastava, H. M.; Jain, V. K. Some multilinear generating functions for q-Hermite polynomials. (English) Zbl 0665.33008 J. Math. Anal. Appl. 144, No. 1, 147-157 (1989). Reviewer: H.M.Srivastava MSC: 33C45 33C05 05A15 PDF BibTeX XML Cite \textit{H. M. Srivastava} and \textit{V. K. Jain}, J. Math. Anal. Appl. 144, No. 1, 147--157 (1989; Zbl 0665.33008) Full Text: DOI
Al-Salam, W. A.; Ismail, Mourad E. H. q-beta integrals and the q-Hermite polynomials. (English) Zbl 0658.33002 Pac. J. Math. 135, No. 2, 209-221 (1988). MSC: 33C05 33C45 PDF BibTeX XML Cite \textit{W. A. Al-Salam} and \textit{M. E. H. Ismail}, Pac. J. Math. 135, No. 2, 209--221 (1988; Zbl 0658.33002) Full Text: DOI
Ismail, Mourad E. H.; Stanton, Dennis On the Askey-Wilson and Rogers polynomials. (English) Zbl 0649.33005 Can. J. Math. 40, No. 5, 1025-1045 (1988). Reviewer: M.E.H.Ismail MSC: 33C45 PDF BibTeX XML Cite \textit{M. E. H. Ismail} and \textit{D. Stanton}, Can. J. Math. 40, No. 5, 1025--1045 (1988; Zbl 0649.33005) Full Text: DOI
Askey, Richard An integral of Ramanujan and orthogonal polynomials. (English) Zbl 0665.33001 J. Indian Math. Soc., New Ser. 51, 27-36 (1987). Reviewer: R.Askey MSC: 33B15 33C45 PDF BibTeX XML Cite \textit{R. Askey}, J. Indian Math. Soc., New Ser. 51, 27--36 (1987; Zbl 0665.33001)