On a family of integrals that extend the Askey–Wilson integral

We study a family of integrals parameterised by N=2,3,… generalising the Askey–Wilson integral N=2 which has arisen in the theory of q-analogs of monodromy preserving deformations of linear differential systems and in theory of the Baxter Q operator for the XXZ open quantum spin chain. These integra...

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Vydané v:	Journal of mathematical analysis and applications Ročník 421; číslo 2; s. 1101 - 1130
Hlavní autori:	Ito, Masahiko, Witte, N.S.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 15.01.2015
Predmet:	Askey–Wilson polynomials Basic hypergeometric integrals Divided difference operators Non-uniform lattices Orthogonal polynomials Semi-classical weights Divided difference operators Basic hypergeometric integrals Non-uniform lattices Semi-classical weights Askey–Wilson polynomials Orthogonal polynomials
ISSN:	0022-247X, 1096-0813
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