A Linear Homogeneous Partial Differential Equation with Entire Solutions Represented by Laguerre Polynomials
Author(s) -
Xinli Wang,
Fengli Zhang,
Pei-Chu Hu
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/609862
Subject(s) - mathematics , laguerre polynomials , homogeneous differential equation , homogeneous , differential equation , partial differential equation , mathematical analysis , series (stratigraphy) , linear differential equation , first order partial differential equation , order (exchange) , combinatorics , ordinary differential equation , differential algebraic equation , paleontology , biology , finance , economics
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
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