Terminating ₂𝐹₁(4)-series perturbed by two integer parameters-Reference-Cited by-同舟云学术

Terminating ₂𝐹₁(4)-series perturbed by two integer parameters

Published:2016-09-15 Issue:3 Volume:145 Page:1031-1040
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Chu Wenchang

Abstract

By means of generating functions and the linearization method, we establish analytical formulae for a class of terminating 2 F 1 ( 4 ) _2F_1(4) -series perturbed by two integer parameters. Under the Pfaff transformation, these formulae confirm, unexpectedly, a conjecture about evaluation of the 2 F 1 ( − 3 ) _2F_1(-3) -series made by Apagodu and Zeilberger (2008).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2017-145-03/S0002-9939-2016-13293-0/S0002-9939-2016-13293-0.pdf

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