Number Theory, Madras 1987 pp 84-121
Beta integrals and the associated orthogonal polynomials
- 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
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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