A generalization of a theorem of Bochner

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摘要

We describe all polynomial solutions to the general second order operator equation in the Askey–Wilson operators, thus extending a theorem of Bochner from differential operators to Askey–Wilson divided difference operators.

论文关键词:Bochner's theorem

论文评审过程:Received 4 January 2003, Revised 29 March 2003, Available online 9 September 2003.

论文官网地址:https://doi.org/10.1016/S0377-0427(03)00536-3