A method to study the Krall and q-Krall polynomials

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摘要

We describe a method allowing to obtain new results in studying the Krall and q-Krall polynomials. In particular, we establish the criterion for orthogonal polynomials to be eigenfunctions of 2Nth-order q-differential operator. This criterion is an exact q-analogue of corresponding Krall's criterion.

论文关键词：Primary 33C45,33D45,Krall polynomials,q-Krall polynomials,Little q-Jacobi polynomials

论文评审过程：Received 3 November 1999, Revised 15 June 2000, Available online 3 August 2001.

论文官网地址：https://doi.org/10.1016/S0377-0427(00)00686-5