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Found 79 Documents (Results 1–79)

Dual addition formulas associated with dual product formulas. (English) Zbl 1411.33010

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, 373-392 (2018).
MSC:  33C45
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Quadratic transformations for orthogonal polynomials in one and two variables. (English) Zbl 1409.33007

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, 419-447 (2018).
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Orthogonal polynomials. (English) Zbl 1311.33007

Schneider, Carsten (ed.) et al., Computer algebra in quantum field theory. Integration, summation and special functions. Wien: Springer (ISBN 978-3-7091-1615-9/hbk; 978-1-4614-8523-0/ebook). Texts and Monographs in Symbolic Computation, 145-170 (2013).
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Hypergeometric orthogonal polynomials and their \(q\)-analogues. With a foreword by Tom H. Koornwinder. (English) Zbl 1200.33012

Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-3-642-05013-8/hbk; 978-3-642-26351-4/pbk; 978-3-642-05014-5/ebook). xix, 578 p. (2010).
MSC:  33C45 33D45
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Lowering and raising operators for some special orthogonal polynomials. (English) Zbl 1132.33315

Kuznetsov, Vadim B. (ed.) et al., Jack, Hall-Littlewood and Macdonald polynomials. Workshop on Jack, Hall-Littlewood and Macdonald polynomials, ICMS, Edinburgh, UK, September 23–26, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3683-8/pbk). Contemporary Mathematics 417, 227-238 (2006).
MSC:  33C45 33D45 33C52 05E35
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A second addition formula for continuous \(q\)-ultraspherical polynomials. (English) Zbl 1219.33025

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, 339-360 (2005).
MSC:  33D45 33D80
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Special functions associated with root systems: a first introduction for non-specialists. (English) Zbl 0924.33008

Srinivasa Rao, K. (ed.) et al., Special functions and differential equations. Proceedings of a workshop, WSSF ’97, Madras, India, January 13–24, 1997. New Delhi: Allied Publishers Private Limited. 10-24 (1998).
MSC:  33C52 33D52
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Jacobi polynomials of type \(BC\), Jack polynomials, limit transitions and \(O(\infty)\). (English) Zbl 0968.33500

Ismail, Mourad E. H. (ed.) et al., Mathematical analysis, wavelets, and signal processing. An international conference on mathematical analysis and signal processing, Cairo University, Cairo, Egypt, January 3-9, 1994. Providence, RI: American Mathematical Society. Contemp. Math. 190, 283-286 (1995).
MSC:  33C52 42C05 33C80
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Compact quantum groups and \(q\)-special functions. (English) Zbl 0821.17015

Baldoni, Velleda (ed.) et al., Representations of Lie groups and quantum groups. Proceedings of the session of the European School of Group Theory, held in Trento, Italy, July 19-30, 1993. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 311, 46-128 (1994).
Reviewer: A.Klimyk (Kiev)
MSC:  17B37 16W30 33D15 33D45 46L89
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