Laplace transform of some special functions in terms of generalized Meijer G-functions

Journal of Nonlinear Sciences and Applications Pub Date : 2021-09-17 DOI:10.22436/jnsa.015.02.03

S. Shah, S. Mubeen

引用次数: 0

Abstract

The aim of this paper is to prove Laplace transform of some special functions in term of generalized Meijer G-functions. Some properties of generalized Meijer G-functions will be discussed. We investigate the Laplace transform of different hypergeometric functions in the form of generalized Meijer G-functions and hypergeometric functions. We derive Laplace transform of Bessel k-functions, hyper-Bessel k-functions, incomplete gamma k-function, sine k-integral, sine hyperbolic k-integral, Kelvin k-function in the form of generalized Meijer G-functions. In fact, we provide new approach to find Laplace transform of said functions.

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用广义梅杰g函数表示一些特殊函数的拉普拉斯变换

本文的目的是用广义Meijer g函数证明一些特殊函数的拉普拉斯变换。讨论了广义Meijer g函数的一些性质。研究了不同超几何函数在广义Meijer g函数和超几何函数形式下的拉普拉斯变换。以广义Meijer g函数的形式导出了贝塞尔k函数、超贝塞尔k函数、不完全k函数、正弦k积分、正弦双曲k积分、开尔文k函数的拉普拉斯变换。实际上，我们提供了一种求上述函数拉普拉斯变换的新方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

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发文量

期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.