Title of Article |
Generalized Solutions of Ordinary Differential Equations Related to the Chebyshev Polynomial of the Second Kind |
Date of Acceptance |
22 March 2023 |
Journal |
Title of Journal |
Mathematics |
Standard |
ISI |
Institute of Journal |
MDPI |
ISBN/ISSN |
2227-7390 |
Volume |
11 |
Issue |
7 |
Month |
April |
Year of Publication |
2023 |
Page |
1725 |
Abstract |
In this work, we employed the Laplace transform of right-sided distributions in conjunction with the power series method to obtain distributional solutions to the modified Bessel equation and its related equation, whose coefficients contain the parameters ν and γ. We demonstrated that the solutions can be expressed as finite linear combinations of the Dirac delta function and its derivatives, with the specific form depending on the values of ν and γ. |
Keyword |
Dirac delta function; distributional solution; generalized solutions; Laplace transform; power series solution |
Author |
|
Reviewing Status |
มีผู้ประเมินอิสระ |
Status |
ตีพิมพ์แล้ว |
Level of Publication |
นานาชาติ |
citation |
true |
Part of thesis |
true |
ใช้สำหรับสำเร็จการศึกษา |
ไม่เป็น |
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