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

George E. Andrews

doi:10.1134/S0081543812010038

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

George E. Andrews

Mathematics

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

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 language	English (US)
Pages (from-to)	21-32
Number of pages	12
Journal	Proceedings of the Steklov Institute of Mathematics
Volume	276
Issue number	1
DOIs	https://doi.org/10.1134/S0081543812010038
State	Published - Apr 2012

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.1134/S0081543812010038

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

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.",

author = "Andrews, \{George E.\}",

note = "Funding Information: Partially supported by National Science Foundation Grant DMS-0801184.",

year = "2012",

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AB - 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.

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JO - Proceedings of the Steklov Institute of Mathematics

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

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