Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616232 | Journal of Mathematical Analysis and Applications | 2014 | 11 Pages |
Abstract
Two q-difference equations with solutions expressed by q-exponential operator identities are investigated. As applications, two extensions of Ramanujanʼs formulas for q-beta integral are given, two generalizations of Andrews–Askey integral are obtained. In addition, generating functions for generalized Al-Salam–Carlitz polynomials are deduced. At last, a generalized transformation identity is gained.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jian Cao,