The inversion of an integral equation involving a general class of polynomials
type: Item
instance of: scholarly article
title: The inversion of an integral equation involving a general class of polynomials
zbMATH Open document ID: 0803.45005
author: Rekha Srivastava
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-01-02T00:00:00Z
review text: The object of the paper is to derive the solution of a certain convolution integral equation of Fredholm type whose kernel involves a generalization of numerous polynomial systems including, for example, the classical Hermite, Laguerre, and Bessel polynomials, and the Konhauser biorthogonal polynomials. Some interesting applications of the main inversion theorem are also mentioned. One of these applications is shown to lead to the correct solutions of certain integral equations which were considered recently.
reviewed by: Rekha Srivastava
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 663703
zbMATH Keywords: convolution integral equation of Fredholm type
zbMATH Keywords: Hermite, Laguerre, and Bessel polynomials
zbMATH Keywords: Konhauser biorthogonal polynomials
zbMATH Keywords: inversion theorem
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1282
OpenAlex ID: W2057372932
DOI: 10.1006/JMAA.1994.1282
description: scientific article; zbMATH DE number 663703