New identities for the Laplace transform and their applications

被引:0
|
作者
Abdulsalam, Abdulhafeez A. [1 ]
Mohammed, Ammar K. [2 ]
机构
[1] Univ Ibadan, Dept Math, Ibadan, Oyo, Nigeria
[2] Univ Kirkuk, Dept Math, Kirkuk, Iraq
关键词
Convolution; error function; Fourier sine transform; Laplace transform; Mellin transform;
D O I
10.1080/10652469.2024.2429142
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we apply the Laplace transform to derive closed forms for several challenging integrals that seem nearly impossible to evaluate. By utilizing the solutions to the Pythagorean equation $ a<^>2 + b<^>2 = c<^>2 $ a2+b2=c2, these closed forms become even more intriguing. This approach allows us to provide new integral representations for the error function. Furthermore, by leveraging an identity we derived for the inverse Laplace transform and applying a result based on Srivastava and Y & uuml;rekli's identity, we provide a closed form for a nontrivial generalized integral.
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页数:25
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