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

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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.

Original languageEnglish (US)
Pages (from-to)21-32
Number of pages12
JournalProceedings of the Steklov Institute of Mathematics
Volume276
Issue number1
DOIs
StatePublished - Apr 1 2012

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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