Title

Tribasic Integrals And Identities Of Rogers-Ramanujan Type

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 infinite sum representations for these infinite products. The resulting identities are identities of Rogers-Ramanujan type. Some integer partition interpretations of these identities are given. General- izations of the Rogers-Ramanujan type identities involving polynomials are given again as corollaries of integral evaluations.

Publication Date

10-1-2003

Publication Title

Transactions of the American Mathematical Society

Volume

355

Issue

10

Number of Pages

4061-4091

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/S0002-9947-03-03338-5

Socpus ID

0242350511 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0242350511

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