A Note on q-Integrals and Certain Generating Functions†

  1. Jian Cao

Article first published online: 30 JAN 2013

DOI: 10.1111/sapm.12002

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How to Cite

Cao, J. (2013), A Note on q-Integrals and Certain Generating Functions. Studies in Applied Mathematics. doi: 10.1111/sapm.12002

Author Information

  1. Hangzhou Normal University

*Jian Cao, Department of Mathematics, Hangzhou Normal University, Hangzhou City, Zhejiang Province, 310036, P. R. China; e-mail: 21caojian@gmail.com

  1. †

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

Publication History

  1. Article first published online: 30 JAN 2013
  2. (Received December 11, 2012)

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

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