Chapter

Number Theory, Madras 1987

Volume 1395 of the series Lecture Notes in Mathematics pp 84-121

Date:

Beta integrals and the associated orthogonal polynomials

  • Richard AskeyAffiliated withUniversity of Wisconsin

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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.