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Some integral transforms involving extended generalized Gauss hypergeometric functions

최준상|Jyotindra C. Prajapati|Sunil Dutt Purohit|Krunal B. Kachhia
대한수학회 (The Korean Mathematical Society)|2016.10|대한수학회논문집 (Communications of the KMS)|제31권 제4호|pp. 779-790

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키워드

Laplace transformintegral transformsinversion TheoremsParseval relations
주제분류수학

초록

Using the extended generalized integral transform given by Luo \textit{et al.} \cite{Luo:2014}, we introduce some new generalized integral transforms to investigate such their (potentially) useful properties as inversion formulas and Parseval-Goldstein type relations. Classical integral transforms including (for example) Laplace, Stieltjes, and Widder-Potential transforms are seen to follow as special cases of the newly-introduced integral transforms.

Abstract

Using the extended generalized integral transform given by Luo \textit{et al.} \cite{Luo:2014}, we introduce some new generalized integral transforms to investigate such their (potentially) useful properties as inversion formulas and Parseval-Goldstein type relations. Classical integral transforms including (for example) Laplace, Stieltjes, and Widder-Potential transforms are seen to follow as special cases of the newly-introduced integral transforms.

참고문헌 (16)

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