BASIC HYPERGEOMETRIC IDENTITIES - AN INTRODUCTORY REVISITING THROUGH THE CARLITZ INVERSIONS

Authors
CHU WC
Citation
Wc. Chu, BASIC HYPERGEOMETRIC IDENTITIES - AN INTRODUCTORY REVISITING THROUGH THE CARLITZ INVERSIONS, Forum mathematicum, 7(1), 1995, pp. 117-129
Citations number
17
Categorie Soggetti
Mathematics,Mathematics,Mathematics
Journal title
Forum mathematicum → ACNP
ISSN journal
09337741
Volume
7
Issue
1
Year of publication
1995
Pages
117 - 129
Database
ISI
SICI code
0933-7741(1995)7:1<117:BHI-AI>2.0.ZU;2-T
Abstract
By means of the Carlitz q-analogue of Gould-Hsu inverse relations, a q uick introduction to the basic hypergeometric formulae is presented in an elementary and direct way. As a unified treatment, several famous identities, e.g., the q-analogues of the Dougall-Dixon-Watson-Whipple formulas, are shown to be the dual versions of the q-Saalschutz theore m.