| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4616388 | Journal of Mathematical Analysis and Applications | 2014 | 11 Pages |
Abstract
In this paper, generalizations of Askey–Roy integral are given by the technique of transformation. In addition, a recurring formula for Askey–Roy integral and an integral involving Cauchy polynomial are deduced by Askey–Roy integral. Besides, a new transformation identity is gained by Askey–Roy integral. Moreover, a certain generating function for generalized Al-Salam–Carlitz polynomials is obtained by Askey–Roy integral. At last, two generalizations of U(n+1)U(n+1) type generating function for generalized Al-Salam–Carlitz polynomials are derived by Askey–Roy integral.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jian Cao,