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Found 732 Documents (Results 1–100)

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Variants of confluent \(q\)-hypergeometric equations. (English) Zbl 07464624

Baklouti, Ali (ed.) et al., Geometric and harmonic analysis on homogeneous spaces and applications. TJC 2019, Djerba, Selected papers based on the presentations at the 6th Tunisian-Japanese conference. In honor of Professor Takaaki Nomura. Tunisia, December 15–19, 2019. Cham: Springer. Springer Proc. Math. Stat. 366, 161-180 (2021).
MSC:  33D15 39A13
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A note on \(q\)-partial differential equations for generalized \(q\)-2D Hermite polynomials. (English) Zbl 1472.39013

Baigent, Steve (ed.) et al., Progress on difference equations and discrete dynamical systems. ICDEA 25, London, UK, June 24–28, 2019. Proceedings of the 25th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 341, 201-211 (2020).
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Classical orthogonal polynomials of a discrete and a \(q\)-discrete variable. (English) Zbl 1443.33025

Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 85-112 (2020).
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Holonomic tools for basic hypergeometric functions. (English) Zbl 1411.33019

Nashed, M. Zuhair (ed.) et al., Frontiers in orthogonal polynomials and \(q\)-series. Papers based on the international conference, University of Central Florida, Orlando, FL, USA, May 10–12, 2015. Dedicated to Professor Mourad Ismail on his 70th birthday. Hackensack, NJ: World Scientific. Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 393-416 (2018).
MSC:  33F10 05A30 33D15
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A Sturm-Liouville theory for Hahn difference operator. (English) Zbl 1415.39014

Nashed, M. Zuhair (ed.) et al., Frontiers in orthogonal polynomials and \(q\)-series. Papers based on the international conference, University of Central Florida, Orlando, FL, USA, May 10–12, 2015. Dedicated to Professor Mourad Ismail on his 70th birthday. Hackensack, NJ: World Scientific. Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 35-83 (2018).
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Remarks on \(\tau\)-functions for the difference Painlevé equations of type \(E_8\). (English) Zbl 1409.39008

Konno, Hitoshi (ed.) et al., Representation theory, special functions and Painvlevé equations – RIMS 2015. Proceedings of the international conference on the occasion of Masatoshi Noumi’s 60th birthday, RIMS, Kyoto, Japan, March 3–6, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 76, 1-65 (2018).
MSC:  39A20 33E17 33D70
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