Beta及相关函数的扩张
Extensions of beta and related functions
摘要：
本文引入并研究了Beta函数的一种新的扩张，它是通过一个包含Bessel-Struve核函数乘积的积分算子来实现的.我们还定义了一个新的推广的著名的beta分布，高斯超几何函数和汇合型超几何函数在我们的扩展β函数。此外，还系统地指出了这些扩展函数的一些有用性质。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
