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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2012 Volume 276, Pages 27–38 (Mi tm3362)

This article is cited in 39 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

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.

UDC: 517.538.3

Received in November 2010

Language: English


 English version:
Proceedings of the Steklov Institute of Mathematics, 2012, 276, 21–32

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