Applications of Tannery's theorem to Bailey's ψ66 summation

Ramanujan's ψ11 summation is obtained from Bailey's ψ66 summation by taking a limit and then specializing one of the variables. The process is shown to yield a three-term transformation for the general ψ22 series as an intermediate stage. Tannery's theorem is applied carefully, leadin...

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Bibliographic Details

Published in:	Journal of mathematical analysis and applications Vol. 541; no. 1
Main Author:	Bradley-Thrush, J.G.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.01.2025
Subjects:	Basic hypergeometric series Special functions Tannery's theorem Basic hypergeometric series Tannery's theorem Special functions
ISSN:	0022-247X
Online Access:	Get full text
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