Distributional solutions of the hypergeometric differential equation
type: Item
instance of: scholarly article
title: Distributional solutions of the hypergeometric differential equation
zbMATH Open document ID: 0629.34006
DOI: 10.1016/0022-247X(87)90263-0
author: Lance L. Littlejohn
author: Ram P. Kanwal
published in: Journal of Mathematical Analysis and Applications
publication date: 1987-01-01T00:00:00Z
review text: This paper presents solutions of the form \(\sum^{\infty}_{n=0}a_ n\delta^{(n)}(x)\) for the hypergeometric equation concentrating especially on the confluent hypergeometric differential equation and extending the method to considerations for the solution of the general one. The solutions derived are studied in order to designate their intrinsic importance, to display their uses and, finally, to exhibit their interrelations with results of similar methods used in the theory of ordinary differential equations.
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 4023723
zbMATH Keywords: hypergeometric equation
zbMATH Keywords: confluent hypergeometric differential equation
Wikidata QID: Q115364540
MaRDI profile type: Publication
cites work: Generalized-function solutions of differential and functional differential equations
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full work available at URL: 0022-247x(87)90263-0
OpenAlex ID: W2028917670
description: scientific article; zbMATH DE number 4023723