Generalized bibasic hypergeometric series and their \(U(n)\) extensions (Q1372875)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Generalized bibasic hypergeometric series and their \(U(n)\) extensions |
scientific article; zbMATH DE number 1082946
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized bibasic hypergeometric series and their \(U(n)\) extensions |
scientific article; zbMATH DE number 1082946 |
Statements
Generalized bibasic hypergeometric series and their \(U(n)\) extensions (English)
0 references
7 April 1998
0 references
The authors use general matrix inversion techniques to find \(U(n+1)\) generalizations of the bibasic summation theorems of Gosper and Gasper [\textit{G. Gasper}, Trans. Am. Math. Soc. 312, No. 1, 257-277 (1989; Zbl 0664.33010], to extend Gasper's result to a \(U(n+1)\) quadbasic transformation formula, and to derive a \(U(n+1)\) generalization of a \(q\)-analog of Abel's binomial theorem.
0 references
0 references
0 references
0 references
0 references
0 references
0.8944162
0 references
0.8904166
0 references
0.8902473
0 references
0.88880706
0 references
0.88724416
0 references
