Title

On formulas of Ramanujan and Evans

Authors

Authors

M. E. H. Ismail

Comments

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Abbreviated Journal Title

Ramanujan J.

Keywords

finite difference operators; summation theorems; the Ramanujan-Bradley; identity; partitions; SUMMATION; CRANKS; Mathematics

Abstract

We give short elementary proofs of a formula of Ramanujan as interpreted by Bradley, and a companion formula originally proved by W. Chu. We also give an elementary proof of a generalization of an identity originally proved using modular functions and used to study a generating function for the number of partitions with specified crank.

Journal Title

Ramanujan Journal

Volume

11

Issue/Number

3

Publication Date

1-1-2006

Document Type

Article

DOI Link

http://dx.doi.org/10.1007/s11139-006-8480-z

Language

English

First Page

349

Last Page

353

WOS Identifier

WOS:000238748400004

ISSN

1382-4090

Recommended Citation

"On formulas of Ramanujan and Evans" (2006). Faculty Bibliography 2000s. 6249.
https://stars.library.ucf.edu/facultybib2000/6249