A Linear Homogeneous Partial Differential Equation with Entire Solutions Represented by Laguerre Polynomials

Xin-Li Wang; Feng-Li Zhang; Pei-Chu Hu

doi:10.1155/2012/609862

Abstract and Applied Analysis (Jan 2012)

A Linear Homogeneous Partial Differential Equation with Entire Solutions Represented by Laguerre Polynomials

Xin-Li Wang,
Feng-Li Zhang,
Pei-Chu Hu

Affiliations

Xin-Li Wang: College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
Feng-Li Zhang: College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
Pei-Chu Hu: Department of Mathematics, Shandong University, Shandong, Jinan 250100, China

DOI: https://doi.org/10.1155/2012/609862
Journal volume & issue: Vol. 2012

Abstract

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We study a homogeneous partial differential equation and get its entire solutions represented in convergent series of Laguerre polynomials. Moreover, the formulae of the order and type of the solutions are established.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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