Solution of inhomogeneous differential equations with polynomial coefficients in terms of the Green's function

DOI10.3390/math5040062zbMath1393.34006OpenAlexW2767219460MaRDI QIDQ1649050

Ken-ichi Sato, Tohru Morita

Publication date: 5 July 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math5040062

zbMATH Keywords

Laplace transformparticular solutionGreen's functiondistribution theoryhypergeometric differential equationKummer's differential equation

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Green's functions for ordinary differential equations (34B27) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (2)

Editorial. Operators of fractional calculus and their applications ⋮ \(k\)-hypergeometric series solutions to one type of non-homogeneous \(k\)-hypergeometric equations

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