Finite singularities and hypergeometric solutions of linear recurrence equations
type: Item
instance of: scholarly article
title: Finite singularities and hypergeometric solutions of linear recurrence equations
zbMATH Open document ID: 0933.39041
DOI: 10.1016/S0022-4049(99)00008-0
author: Mark van Hoeij
published in: Journal of Pure and Applied Algebra
publication date: 2000-04-04T00:00:00Z
review text: Let \(L\) be the difference operators \(L=a_n\tau^n+ \cdots+ a_0\tau^0\) that acts on a function such that \[ L(f)x= a_n(x)f(x+n) +\cdots+ a_0 (x)f(n). \] The notion of finite singularities of the above difference equation is introduced. Considering left and right solutions, it is shown that a right solution can be obtained from a left solution by deforming the difference equation. Finally two theorems are proved to determine the hypergeometric solutions.
Mathematics Subject Classification ID: 39A70
zbMATH DE Number: 1308379
zbMATH Keywords: finite singularities
zbMATH Keywords: hypergeometric solutions
zbMATH Keywords: linear recurrence equations
zbMATH Keywords: difference operators
zbMATH Keywords: left and right solutions
reviewed by: B. M. Agrawal
describes a project that uses: RatDiff
MaRDI profile type: Publication
Wikidata QID: Q56601815
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description: scientific article; zbMATH DE number 1308379