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Recurrence Relations of the Hypergeometric-type functions on the quadratic-type lattices

2014/07/08 by Rezan Sevinik Adıgüzel, Adıgüzel, Rezan Sevinik
Computer Science · Mathematics · #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1407.2226

openalex publication_date 2014/07/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The central idea of this article is to present a systematic approach to construct some recurrence relations for the solutions of the second-order linear difference equation of hypergeometric-type defined on the quadratic-type lattices. We introduce some recurrence relations for such solutions by also considering their applications to polynomials on the quadratic-type lattices.

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