若干涉及超几何函数和Struve函数的积分变换

Pub Date : 2016-12-23 DOI:10.5666/KMJ.2016.56.4.1169
V. Singhal, Rohit Mukherjee
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引用次数: 0

摘要

. 本文主要研究了涉及Struve函数、广义Wright函数和Fox的h函数的Mellin变换、Laplace变换、Euler变换和Whittaker变换。主要结果以四个定理的形式给出。考虑到这里所涉及的函数的一般性质,这里得到的主要结果产生了大量已知的和新的结果,这些结果是用更简单的函数作为它们的特殊情况。为了说明起见,这里记录了一些推论,作为我们主要结论的特殊情况。
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On Certain Integral Transforms Involving Hypergeometric Functions and Struve Function
. This paper is devoted to the study of Mellin, Laplace, Euler and Whittaker transforms involving Struve function, generalized Wright function and Fox’s H-function. The main results are presented in the form of four theorems. On account of the general nature of the functions involved here in, the main results obtained here yield a large num-ber of known and new results in terms of simpler functions as their special cases. For the sake of illustration some corollaries have been recorded here as special cases of our main (cid:12)ndings.
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