Construction of recurrences for the coefficients of expansions in q-classical orthogonal polynomials

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摘要

An algorithmic approach is given to construct recurrence relations for the coefficients of the series expansion of a solution of a linear q-difference equation in q-classical orthogonal polynomials (in the Hahn's sense).

论文关键词:primary 33C25,secondary 33D45,Recurrence relations,q-difference equations,q-classical orthogonal polynomials,Fourier coefficients

论文评审过程:Received 15 November 2001, Revised 10 May 2002, Available online 13 December 2002.

论文官网地址:https://doi.org/10.1016/S0377-0427(02)00601-5