Beta integrals and the associated orthogonal polynomials

  • Richard Askey
Conference paper

DOI: 10.1007/BFb0086401

Part of the Lecture Notes in Mathematics book series (LNM, volume 1395)
Cite this paper as:
Askey R. (1989) Beta integrals and the associated orthogonal polynomials. In: Alladi K. (eds) Number Theory, Madras 1987. Lecture Notes in Mathematics, vol 1395. Springer, Berlin, Heidelberg

Abstract

One reason certain definite integrals are interesting is that the integrand is the weight function for an important set of orthogonal polynomials. This is true for the beta integral and many extensions. Some of these orthogonality relations are surveyed, and a new orthogonality relation is given for a recently discovered q-extension of the beta integral.

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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Richard Askey
    • 1
  1. 1.University of WisconsinMadison

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