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

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Summation, transformation, and expansion formulas for bibasic series

Author: George Gasper
Journal: Trans. Amer. Math. Soc. 312 (1989), 257-277
MSC: Primary 33A70; Secondary 33A35
MathSciNet review: 953537
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: An indefinite bibasic sum containing three parameters is evaluated and used to derive bibasic extensions of Euler's transformation formula and of a Fields and Wimp expansion formula. It is also used to derive a transformation formula involving four independent bases, a $ q$-Lagrange inversion formula, and some quadratic, cubic and quartic summation formulas.

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

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 33A70, 33A35

Retrieve articles in all journals with MSC: 33A70, 33A35

Additional Information

PII: S 0002-9947(1989)0953537-0
Keywords: Basic hypergeometric series, bibasic expansion formulas, Euler's transformation formula, Lagrange inversion, summation and transformation formulas
Article copyright: © Copyright 1989 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