ON A NEW CLASS OF LAPLACE-TYPE DOUBLE INTEGRALS INVOLVING GENERALIZED HYPERGEOMETRIC FUNCTIONS

Shoukat Ali; Radha Mathur

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ON A NEW CLASS OF LAPLACE-TYPE DOUBLE INTEGRALS INVOLVING GENERALIZED HYPERGEOMETRIC FUNCTIONS

机译：在一类新的拉普拉斯型双积分上，涉及广义超几何函数

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Motivated by the research paper due to Kim et al. [1], our aim of this paper is to establish various (presumably) new and potentially useful new class of Laplace-type double integrals involving generalized hypergeometric functions. The results are achieved with the help of the generalizations of the Gauss's second, Kummer's and Bailey's summation theorems obtained earlier by Lavoie et al. [2]. A few interesting special cases have also been given.

机译：由Kim等人的研究论文激励。 [1]，我们本文的目的是建立各种新的（可能是）新的且潜在的新型拉普拉斯型新型拉普拉斯型双积分，涉及广义超测量函数。 Lavoie等人早些时候获得的高斯第二，Kummer's和Bailey的总结定理的概括，可以实现结果。 [2]。还提供了一些有趣的特殊情况。

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来源
《Far east journal of mathematical sciences》 |2021年第2期|89-100|共12页
作者
Shoukat Ali; Radha Mathur;
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作者单位

Department of Mathematics Engineering College Bikaner-334004,Rajasthan,India;

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原文格式 PDF
正文语种英语
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关键词
Hypergeometric functions; Gauss; GeneralizationintegrationNew classesBAILEYDOUBLE;

机译：高几何功能;高斯;概括IntegrationNew classBaileyDouble;

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ON A NEW CLASS OF LAPLACE-TYPE DOUBLE INTEGRALS INVOLVING GENERALIZED HYPERGEOMETRIC FUNCTIONS

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