Orthogonality of the Askey-Wilson polynomials with respect to a measure of Ramanujan type that admits the transformation q-->q(-1) is proved. A simple method for calculating the Askey-Wilson q-beta integral is considered.
机构:
Univ Pretoria, Dept Math & Appl Math, ZA-0003 Pretoria, South Africa
Univ Dschang, Dept Math & Comp Sci, Dschang, CameroonUniv Pretoria, Dept Math & Appl Math, ZA-0003 Pretoria, South Africa