Some More Identities of Rogers-Ramanujan Type

Authors

Douglas Bowman, Northern Illinois University
James McLaughlin, West Chester University of PennsylvaniaFollow
Andrew Sills, Georgia Southern UniversityFollow

Document Type

Article

Publication Date

4-2009

Publication Title

Ramanujan Journal

DOI

10.1007/s11139-007-9109-6

ISSN

1572-9303

Abstract

In this we paper we prove several new identities of the Rogers-Ramanujan-Slater type. These identities were found as the result of computer searches. The proofs involve a variety of techniques, including series-series identities, Bailey pairs, a theorem of Watson on basic hypergeometric series, generating functions and miscellaneous methods.

Comments

This is a preprint of the final published article available at Ramanujan Journal.

Recommended Citation

Bowman, Douglas, James McLaughlin, Andrew Sills. 2009. "Some More Identities of Rogers-Ramanujan Type." Ramanujan Journal, 18 (3): 307-325. doi: 10.1007/s11139-007-9109-6
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/267