Generalizations of Milne’s -binomial theorems

✍ Scribed by Mingjin Wang

• Book ID: 104008543
• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 545 KB
• Volume: 58
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2009.03.086

✦ Synopsis

Milne's U(n + 1) refinement of the q-binomial theorems The q-Chu-Vandermonde sums The q-Pfaff-Saalschütz formula r+1 φ r basic hypergeometric series a b s t r a c t

In this paper, we use the generalized Andrews-Askey integral and Milne's U(n + 1)qbinomial theorems to derive some multiple extensions of the q-binomial identities.