We survey summation theorems for generalized bibasic hypergeometric series found recently by Chu and perfected by Macdonald. These contain arbitrary sequences of parameters, and generalize bibasic summation theorems found by Gosper, Gasper, and Rahman. They also contain a host of matrix inversions,
✦ LIBER ✦
Bibasic analystic functions and discrete ‘bibasic’ hypergeometric series
✍ Scribed by M. A. Khan
- Book ID
- 105333500
- Publisher
- Springer Netherlands
- Year
- 1994
- Tongue
- English
- Weight
- 392 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0031-5303
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Generalized Bibasic Hypergeometric Serie
✍
Gaurav Bhatnagar; Stephen C. Milne
📂
Article
📅
1997
🏛
Elsevier Science
🌐
English
⚖ 658 KB
Certain Bibasic Hypergeometric Transform
✍
U.B. Singh
📂
Article
📅
1996
🏛
Elsevier Science
🌐
English
⚖ 159 KB
We have obtained two new transformation formulae with the help of Bailey's transform, one of which contains series involving two independent bases. It has also been shown that some very interesting new multiple series identities of the Rogers᎐Ramanujan type can be established.
A note on (p, q)-oscillators and bibasic
✍
Floreanini, R; Lapointe, L; Vinet, L
📂
Article
📅
1993
🏛
Institute of Physics
🌐
English
⚖ 144 KB
Certain Bibasic Hypergeometric Transform
✍
U.B. Singh
📂
Article
📅
1996
🏛
Elsevier Science
🌐
English
⚖ 168 KB
On ( p , q , μ, ν, phi 1 , phi 2 )-gener
✍
Hounkonnou, M N; Nkouankam, E B Ngompe
📂
Article
📅
2007
🏛
IOP Publishing
🌐
English
⚖ 210 KB
Recurrence relations for discrete hyperg
✍
Álvarez-Nodarse, R.; Cardoso, J.L.
📂
Article
📅
2005
🏛
Taylor and Francis Group
🌐
English
⚖ 248 KB