Certain Bibasic Hypergeometric Transformation Formulae and Their Application to Rogers–Ramanujan Identities

In this paper, a variety of generalized bibasic hypergeometric transformation formulae have been investigated with the objective of finding a multiple series generalized Rogers–Ramanujan type of identity. It has been shown that some very interesting new multiple series identities of the Rogers–Raman...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 198; no. 3; pp. 671 - 684
Main Author Singh, U.B.
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 15.03.1996
Elsevier
Subjects
Exact sciences and technology
Mathematical analysis
Mathematics
Sciences and techniques of general use
Special functions
Generalized transformation
Hypergeometric series
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Summary:In this paper, a variety of generalized bibasic hypergeometric transformation formulae have been investigated with the objective of finding a multiple series generalized Rogers–Ramanujan type of identity. It has been shown that some very interesting new multiple series identities of the Rogers–Ramanujan type can be found where there is more than one infinite product in which the terms in each product advance in different powers ofq.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1996.0107