论文标题
类型 - （i，ii）使用Ramanujan的主定理插值和一些渐近扩展
Type-(I,II) Interpolations and some asymptotic expansions using Ramanujan's master theorem
论文作者
论文摘要
Mellin Transform的理论是评估Zeta功能的一些已知结果的非常有用的工具。 Ramanujan在他的季度报告中\ cite {1}给出了Mellin Transform的定理，该定理现在被称为Ramanujan的主定理\ Cite {2}。在本文中，我们根据我们以前的结果\ cite {3}得出了Ramanujan的主定理的一些扩展版本，并将它们应用于某些特殊功能，例如Riesz函数$ r（z）$和广义二项式函数。也得出了一些使用扩展Ramanujan的主定理的渐近扩展。
The theory of Mellin transform is an incredibly useful tool in evaluating some of the well known results for the zeta function. Ramanujan in his quarterly reports \cite{1} gave a theorem for Mellin transform which is now known as Ramanujan's master theorem \cite{2}. In this paper, we have derived some extended versions of Ramanujan's master theorem based on our previous results \cite{3} and applied them to some special functions such as known as the Riesz function $R(z)$ and generalized binomial function. Some asymptotic expansions using extended Ramanujan's master theorem are also derived.
