论文标题
在Fox-Wright功能及其应用程序的新生成功能上
On a new generating functions for the Fox-Wright functions and theirs applications
论文作者
论文摘要
本文的主要重点是研究与Fox-Wright函数相关的某些类别的功能的几种生成功能。特别是，研究涉及福克斯 - 赖特功能的一类功能的某些生成功能将根据两个变量的H功能表示。作为应用程序，建立了与广义MATHIEU类型功率系列和扩展的Hurwitz-Lerch Zeta功能相关的某些生成功能。此外，还考虑了一些新的双重系列身份。对与Fox H功能相关的一类函数的有限拉普拉斯变换的猜想。
The main focus of the present paper is to investigate several generating functions for a certain classes of functions associated to the Fox-Wright functions. In particular, certain generating functions for a class of function involving the Fox-Wright functions will be expressed in terms of the H-function of two variables are investigated. As applications, some generating functions associated to the generalized Mathieu type power series and the extended Hurwitz-Lerch zeta function are established. Furthermore, some new double series identity are considered. A conjecture about the finite Laplace transform of a class of function associated to the Fox's H-function is made.
