Ramanujan主定理及其对特殊函数的意义
The Ramanujan master theorem and its implications for special functions
摘要：
我们研究了一些可能的扩展Ramanujan主定理，这是制定在这里使用的方法的阴影性质。我们讨论的程序的特殊功能的理论的影响，如推导公式的积分的产品的家庭的贝塞尔函数和连续衍生物的贝塞尔型函数。我们还强调，我们提出的程序允许出现在应用程序中的许多问题的统一处理，这可以正式减少到指数或高斯积分的评价。
英文摘要：
We study a number of possible extensions of the Ramanujan master theorem, which is formulated here by using methods of Umbral nature. We discuss the implications of the procedure for the theory of special functions, like the derivation of formulae concerning the integrals of products of families of Bessel functions and the successive derivatives of Bessel type functions. We stress also that the procedure we propose allows a unified treatment of many problems appearing in applications, which can formally be reduced to the evaluation of exponential- or Gaussian-like integrals.
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。
