Title

Tribasic integrals and identities of Rogers-Ramanujan type

Authors

Authors

M. E. H. Ismail;D. Stanton

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Trans. Am. Math. Soc.

Keywords

POLYNOMIALS; PARTITIONS; Mathematics

Abstract

Some integrals involving three bases are evaluated as infinite products using complex analysis. Many special cases of these integrals may be evaluated in another way to find in finite sum representations for these in finite products. The resulting identities are identities of Rogers-Ramanujan type. Some integer partition interpretations of these identities are given. Generalizations of the Rogers-Ramanujan type identities involving polynomials are given again as corollaries of integral evaluations.

Journal Title

Transactions of the American Mathematical Society

Volume

355

Issue/Number

10

Publication Date

1-1-2003

Document Type

Article

DOI Link

http://dx.doi.org/10.1090/s0002-9947-03-03338-5

Language

English

First Page

4061

Last Page

4091

WOS Identifier

WOS:000184101000009

ISSN

0002-9947

Recommended Citation

"Tribasic integrals and identities of Rogers-Ramanujan type" (2003). Faculty Bibliography 2000s. 3830.
https://stars.library.ucf.edu/facultybib2000/3830