• Expansions of multiple basic h...

Result: Expansions of multiple basic hypergeometric functions

Title:
Expansions of multiple basic hypergeometric functions
Authors:
Saxena, R. K., Gupta, R. K.
Publisher Information:
De Natuur- en Geneeskundige Vennootschap v.z.w., Gent
Subject Terms:
Other basic hypergeometric functions and integrals in several variables, multiple basic hypergeometric functions of several variables, summation formula, expansion formulae
Document Type:
Academic journal Article
File Description:
application/xml
Access URL:
https://zbmath.org/440038
Accession Number:
edsair.c2b0b933574d..0f142772aa8d10d7811683bbf9c8aa65
Database:
OpenAIRE

Further Information

Using the summation formula \[ \sum_{r=0}^ M{q^{r^ 2} z^ r (q;q)_ M\over (q;q)_ r (zq;q)_ r (q;q)_{M-r}} =\;{1\over {(zq;q)_ M}} , \] the authors have given the three expansion formulae for the multiple basic hypergeometric functions of several variables. The results are very lengthy in nature. Also in the bibliography some of the references are unnecessarily given.