论文标题

Beta和相关功能的扩展

Extensions of beta and related functions

论文作者

Ghayasuddin, M., Ali, M., Paris, R. B.

论文摘要

在本文中,我们通过涉及Bessel-Struve内核函数产物的积分操作员介绍并研究了Beta函数的新扩展。我们还根据我们的扩展Beta功能定义了众所周知的Beta分布,高斯超几何函数和汇合超几何函数的新扩展。另外,这些扩展功能的某些有用属性也以系统的方式指示。

In this paper, we introduce and investigate a new extension of the beta function by means of an integral operator involving a product of Bessel-Struve kernel functions. We also define a new extension of the well-known beta distribution, the Gauss hypergeometric function and the confluent hypergeometric function in terms of our extended beta function. In addition, some useful properties of these extended functions are also indicated in a systematic way.

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