A note on a generalization of a q-series transformation of Ramanujan
type: Item
instance of: scholarly article
title: A note on a generalization of a q-series transformation of Ramanujan
zbMATH Open document ID: 0598.33004
published in: Proceedings of the Japan Academy. Series A
publication date: 1987-01-01T00:00:00Z
review text: An interesting generalization of a q-series transformation of Srinivasava Ramanujan (1887-1920) was given by \textit{S. Bhargava} and \textit{C. Adiga} [Indian J. Pure Appl. Math. 17, 338-342 (1986)]. In the present paper it is shown how readily this general q-series transformation would follow as a limiting case of Heine's transformation for basic hypergeometric series. Several other interesting consequences of Heine's result, relevant to the present discussion, are also deduced.
Mathematics Subject Classification ID: 33D05
Mathematics Subject Classification ID: 11P81
zbMATH DE Number: 3964387
zbMATH Keywords: q-series transformation
author: H. M. Srivastava
MaRDI profile type: Publication
full work available at URL: pjaa.63.143
OpenAlex ID: W2079644927
cites work: Chapter 16 of Ramanujan’s second notebook: theta-functions and 𝑞-series
cites work: An Introduction to Ramanujan's "lost" Notebook
cites work: On Some Continued Fraction Identities of Srinivasa Ramanujan
cites work: A basic hypergeometric transformation of Ramanujan and a generalization
cites work: On a partition theorem of Sylvester
cites work: Q5513003
DOI: 10.3792/PJAA.63.143
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description: scientific article; zbMATH DE number 3964387