Some summation theorems and transformations for q-series

Mourad E H Ismail, Mizan Rahman, Sergei Suslov

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We introduce a double sum extension of a very well-poised series and extend to this the transformations of Bailey and Sears as well as the 6φ5 summation formula of F. H. Jackson and the q-Dixon sum. We also give q-integral representations of the double sum. Generalizations of the Nassrallah-Rahman integral are also found.

Original languageEnglish (US)
Pages (from-to)543-567
Number of pages25
JournalCanadian Journal of Mathematics
Volume49
Issue number3
StatePublished - Jun 1997
Externally publishedYes

Fingerprint

Q-series
Summation
Theorem
Q-integral
Summation Formula
Integral Representation
Series

Keywords

  • Al-Salam-Chihara polynomials
  • Balanced series
  • Basic hypergeomctric series
  • Integral representations
  • Very well-poised series

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Some summation theorems and transformations for q-series. / Ismail, Mourad E H; Rahman, Mizan; Suslov, Sergei.

In: Canadian Journal of Mathematics, Vol. 49, No. 3, 06.1997, p. 543-567.

Research output: Contribution to journalArticle

Ismail, Mourad E H ; Rahman, Mizan ; Suslov, Sergei. / Some summation theorems and transformations for q-series. In: Canadian Journal of Mathematics. 1997 ; Vol. 49, No. 3. pp. 543-567.
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