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

16 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 1 2012

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

Access to Document

10.1134/S0081543812010038

Fingerprint Dive into the research topics of 'q-Orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions'. Together they form a unique fingerprint.

Cite this

Andrews, G. E. (2012). q-Orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions. Proceedings of the Steklov Institute of Mathematics, 276(1), 21-32. https://doi.org/10.1134/S0081543812010038

@article{bddbe55a90534348a90d228e267d3502,

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.}",

year = "2012",

month = apr,

day = "1",

doi = "10.1134/S0081543812010038",

language = "English (US)",

volume = "276",

pages = "21--32",

journal = "Proceedings of the Steklov Institute of Mathematics",

issn = "0081-5438",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "1",

}

TY - JOUR

T1 - q-Orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions

AU - Andrews, George E.

PY - 2012/4/1

Y1 - 2012/4/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84860387299&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84860387299&partnerID=8YFLogxK

U2 - 10.1134/S0081543812010038

DO - 10.1134/S0081543812010038

M3 - Article

AN - SCOPUS:84860387299

VL - 276

SP - 21

EP - 32

JO - Proceedings of the Steklov Institute of Mathematics

JF - Proceedings of the Steklov Institute of Mathematics

SN - 0081-5438

IS - 1

ER -