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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 276, Pages 27–38 (Mi tm3362)  
This article is cited in 42 scientific papers (total in 42 papers)

$q$-Orthogonal polynomials, Rogers–Ramanujan identities, and mock theta functions

George E. Andrews

Department of Mathematics, The Pennsylvania State University, University Park, PA, USA
Full-text PDF (181 kB) Citations (42)
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Abstract: In this paper, we examine the role that $q$-orthogonal polynomials can play in the application of Bailey pairs. The use of specializations of $q$-orthogonal polynomials reveals new instances of mock theta functions.
Received in November 2010
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 276, Pages 21–32
DOI: https://doi.org/10.1134/S0081543812010038
Bibliographic databases:
Document Type: Article
UDC: 517.538.3
Language: English
Citation: George E. Andrews, “$q$-Orthogonal polynomials, Rogers–Ramanujan identities, and mock theta functions”, Number theory, algebra, and analysis, Collected papers. Dedicated to Professor Anatolii Alekseevich Karatsuba on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 276, MAIK Nauka/Interperiodica, Moscow, 2012, 27–38; Proc. Steklov Inst. Math., 276 (2012), 21–32
Citation in format AMSBIB
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\bookinfo Collected papers. Dedicated to Professor Anatolii Alekseevich Karatsuba on the occasion of his 75th birthday
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\pages 27--38
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    • This publication is cited in the following 42 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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