Using $G_{\alpha}$-transform to Study Higher-order Differential Equations with Polynomial Coefficients
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Published:2023-07-30
Issue:3
Volume:16
Page:1389-1405
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ISSN:1307-5543
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Container-title:European Journal of Pure and Applied Mathematics
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language:
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Short-container-title:Eur. J. Pure Appl. Math.
Author:
Sattaso Supaknaree,Prasertsang Patarawadee,Prasertsang Torsak
Abstract
In this study, solutions of higher-order differential equations with polynomial coefficients(HODEPCs) were obtained by applying the $G_{\alpha}$-transform. Based on some characterizations, the solutions of HODEPCs were investigated. With the general solution of the HODEPCs, the curves of the general solution can be shown in several examples.
Publisher
New York Business Global LLC
Subject
Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science