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A Note on q-Integrals and Certain Generating Functions


  • Dedicated to Srinivasa Ramanujan on the occasion of his 125th birth anniversary.

Address for correspondence: Jian Cao, Department of Mathematics, Hangzhou Normal University, Hangzhou City, Zhejiang Province, 310036, P. R. China; e-mail:


In this paper, generalizations of certain q-integrals are given by the method of q-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 q-integral. More over, generating functions for generalized Andrews–Askey polynomials are achieved by q-integral.