Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 1, pp. 32-39
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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/
@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 -
%0 Journal Article
%A N. M. Atakishiyev
%T Orthogonality of Askey–Wilson polynomials with respect to a measure of Ramanujan type
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1995
%P 32-39
%V 102
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1995_102_1_a2/
%G ru
%F TMF_1995_102_1_a2
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.
