On the limit of generalized non-standard q-Racah polynomials

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摘要

The aim of this article is to study the limit transitions from non-standard q-Racah polynomials to big q-Jacobi polynomials and the corresponding Krall-type families such that the orthogonality properties and the three-term recurrence relations remain valid.

论文关键词:33D45,33C45,42C05,q-Racah polynomials,Big q-Jacobi polynomials,q-Racah–Krall-type polynomials,Big q-Jacobi–Krall-type polynomials,Limit relations

论文评审过程:Received 15 February 2013, Revised 27 July 2013, Available online 31 August 2013.

论文官网地址:https://doi.org/10.1016/j.cam.2013.08.026