Morita, Tohru and Sato, Ken-ichi (2018) Solution of Inhomogeneous Differential Equations with Polynomial Coefficients in Terms of the Green's Function and the AC-Laplace Transform. Journal of Advances in Mathematics and Computer Science, 28 (4). pp. 1-22. ISSN 24569968
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Abstract
The particular solutions of inhomogeneous differential equations with polynomial coefficients in terms of the Green's function are obtained in the framework of the AC-Laplace transform, that is the Laplace transform supplemented by its analytic continuation. In particular, discussions are given on Kummer's and the hypergeometric differential equation, and also on a fractional differential equation with coefficients of polynomial of at most first degree.
Item Type: | Article |
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Subjects: | Open Library Press > Mathematical Science |
Depositing User: | Unnamed user with email support@openlibrarypress.com |
Date Deposited: | 08 May 2023 05:34 |
Last Modified: | 13 Sep 2024 07:12 |
URI: | http://info.euro-archives.com/id/eprint/1137 |