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On Certain Integral Transforms Involving Hypergeometric Functions and Struve Function

Vijay Kumar Singhal|Rohit Mukherjee
경북대학교 자연과학대학 수학과|2016.12|Kyungpook Mathematical Journal|제56권 제4호|pp. 1169-1177

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참고문헌

키워드

H-functionLaplace TransformMellin TransformStruve functionEuler TransformWhittaker TransformGeneralized Wright function
주제분류수학

초록

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 number 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 findings.

Abstract

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 number 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 findings.

참고문헌 (24)

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