| Title:
|
On another extension of $q$-Pfaff-Saalschütz formula (English) |
| Author:
|
Wang, Mingjin |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
4 |
| Year:
|
2010 |
| Pages:
|
1131-1137 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we give an extension of $q$-Pfaff-Saalschütz formula by means of Andrews-Askey integral. Applications of the extension are also given, which include an extension of $q$-Chu-Vandermonde convolution formula and some other $q$-identities. (English) |
| Keyword:
|
Andrews-Askey integral |
| Keyword:
|
$_{r+1}\phi _r$ basic hypergeometric series |
| Keyword:
|
$q$-Pfaff-Saalschütz formula |
| Keyword:
|
$q$-Chu-Vandermonde convolution formula |
| MSC:
|
05A30 |
| MSC:
|
33D05 |
| MSC:
|
33D15 |
| idZBL:
|
Zbl 1224.05037 |
| idMR:
|
MR2738974 |
| . |
| Date available:
|
2010-11-20T14:02:19Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140811 |
| . |
| Reference:
|
[1] Andrews, G. E., Askey, R.: Another $q$-extension of the beta function.Proc. Amer. Math. Soc. 81 (1981), 97-100. Zbl 0471.33001, MR 0589145 |
| Reference:
|
[2] Andrews, G. E.: $q$-Series: Their Development and Applications in Analysis, Number Theory, Combinatorics, Physics and Computer Algebra.CBMS Regional Conference Lecture Series, vol. 66, Amer. Math, Providences, RI (1986). MR 0858826 |
| Reference:
|
[3] Jackson, F. H.: On $q$-definite integrals.Quart. J. Pure and Appl. Math. 41 (1910), 193-203. |
| Reference:
|
[4] Wang, M.: A remark on Andrews-Askey integral.J. Math. Anal. Appl. 341/2 (2008), 14870-1494. Zbl 1142.33006, MR 2398544, 10.1016/j.jmaa.2007.11.011 |
| . |
