Some generalized Jacobi polynomials.
type: Item
instance of: scholarly article
title: Some generalized Jacobi polynomials.
zbMATH Open document ID: 1075.33002
DOI: 10.1016/S0898-1221(03)00045-2
author: J. Alaya
author: M. J. Atia
author: A. Ronveaux
publication date: 2003-12-14T00:00:00Z
review text: Following the work of the first author [Int. J. Math. Math. Sci. 24, No. 10, 673--689 (2000; Zbl 0967.33006)] in this paper the authors obtain the explicit expressions for the coefficients in the three term pure recurrence relation for generalized Jacobi polynomials defined by a positive weight function which involves a \(p\)th power of \((1-x)\). The authors here study the cases \(p= 2,3\), and 4. An application of the recurrence coefficients to the birth death processes has also been discussed in the paper.
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 2017237
zbMATH Keywords: generalized Jacobi polynomials
zbMATH Keywords: recurrence coefficients
MaRDI profile type: Publication
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cites work: Q5714902
cites work: On semi-classical linear functionals of class \(s=1\). Classification and integral representations
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full work available at URL: s0898-1221(03)00045-2
OpenAlex ID: W2091255961
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2017237