Orthogonality of Askey–Wilson polynomials with respect to a measure of Ramanujan type
Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 1, pp. 32-39
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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.
@article{TMF_1995_102_1_a2,
author = {N. M. Atakishiyev},
title = {Orthogonality of {Askey{\textendash}Wilson} polynomials with respect to a~measure of {Ramanujan} type},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {32--39},
year = {1995},
volume = {102},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1995_102_1_a2/}
}
TY - JOUR AU - N. M. Atakishiyev TI - Orthogonality of Askey–Wilson polynomials with respect to a measure of Ramanujan type JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1995 SP - 32 EP - 39 VL - 102 IS - 1 UR - http://geodesic.mathdoc.fr/item/TMF_1995_102_1_a2/ LA - ru ID - TMF_1995_102_1_a2 ER -
N. M. Atakishiyev. Orthogonality of Askey–Wilson polynomials with respect to a measure of Ramanujan type. Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 1, pp. 32-39. http://geodesic.mathdoc.fr/item/TMF_1995_102_1_a2/