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

Research output: Contribution to journalArticle

14 Citations (Scopus)

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

Fingerprint

Q-orthogonal Polynomials
Mock theta Functions
Rogers-Ramanujan Identities
Specialization

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

Cite this

@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 = "4",
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",

}

q-Orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions. / Andrews, George E.

In: Proceedings of the Steklov Institute of Mathematics, Vol. 276, No. 1, 01.04.2012, p. 21-32.

Research output: Contribution to journalArticle

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 -