Solution of Differential Equations with Polynomial Coefficients with the Aid of an Analytic Continuation of Laplace Transform

In a series of papers, we discussed the solution of Laplace’s differential equation (DE) by using fractional calculus, operational calculus in the framework of distribution theory, and Laplace transform. The solutions of Kummer’s DE, which are expressed by the confluent hypergeometric functions, are...

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Bibliographic Details
Main Authors: Tohru Morita, Ken-ichi Sato
Format: Article
Language:English
Published: MDPI AG 2016-03-01
Series:Mathematics
Subjects:
Online Access:http://www.mdpi.com/2227-7390/4/1/19