Dedicated to Srinivasa Ramanujan on the occasion of his 125th birth anniversary.
A Note on q-Integrals and Certain Generating Functions†
Article first published online: 30 JAN 2013
© 2013 by the Massachusetts Institute of Technology
Studies in Applied Mathematics
How to Cite
Cao, J. (2013), A Note on q-Integrals and Certain Generating Functions. Studies in Applied Mathematics. doi: 10.1111/sapm.12002
- Article first published online: 30 JAN 2013
- (Received December 11, 2012)
In this paper, generalizations of certain -integrals are given by the method of -difference equation, which involves the Andrews–Askey integral. In addition, some mixed generating functions for generalized Rogers–Szegö polynomials are obtained by the technique of -integral. More over, generating functions for generalized Andrews–Askey polynomials are achieved by q-integral.