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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1995 Volume 102, Number 1, Pages 32–39 (Mi tmf1245)

This article is cited in 6 papers

Orthogonality of Askey–Wilson polynomials with respect to a measure of Ramanujan type

N. M. Atakishiyev

Institute of Physics Azerbaijan Academy of Sciences

Abstract: Orthogonality of the Askey–Wilson polynomials with respect to a Ramanujan-type measure, admitting the transformation $q \to q^{-1} $, is proved. A simple way of evaluating the Askey–Wilson $q$-beta integral is also given.

Received: 18.03.1994


 English version:
Theoretical and Mathematical Physics, 1995, 102:1, 23–28

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