Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Applications of Andrews' basic Lauricella transformation

Author: D. M. Bressoud
Journal: Proc. Amer. Math. Soc. 72 (1978), 89-94
MSC: Primary 33A30; Secondary 10A45
MathSciNet review: 0486677
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We view Andrews' transformation for the fourth basic Lauricella function as a multiple summation analog of Heine's fundamental transformation for $ _2{\phi _1}$. This leads to multiple summation analogs of several classical q-series identities, and a new proof of a recent partition theorem.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 33A30, 10A45

Retrieve articles in all journals with MSC: 33A30, 10A45

Additional Information

PII: S 0002-9939(1978)0486677-1
Keywords: Basic hypergeometric function, basic Lauricella function, q-series, Kummer's Theorem, partition
Article copyright: © Copyright 1978 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia