The Hypergeometric Approach to Integral Transforms and Convolutions, Mathematics and its Applications 287, S.B. Yakubovich and Yu F. Luchko, Kluwer Academic, Dordrecht, 1994, xi + 324 pp (original) (raw)

The Hypergeometric Approach to Integral Transforms and Convolutions

Springer eBooks, 1994

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ON THE LAPLACE TRANSFORMS OF THE GENERALIZED HYPERGEOMETRIC FUNCTIONS pp F -I

2010 AMS Mathematics Subject Classification: Primary: 33C20, 44A10, 44A45. Secondary: 33C05, 33C90. In this paper we intend to point out some minor typos which might have crept in inadvertently in four of the very recent results deduced by Kim and Lee [20] concerning the Laplace transforms of certain generalized hypergeometric functions pp F. We also augment their study [20] by presenting three additional results for which Kim and Lee [20] have stated the governing preliminary results in their introductory part of this paper [20] but the corresponding results flowing from these preliminary results have neither been stated nor deduced by them in the sequel. In this sense this study of ours augments the above mentioned investigations of Kim and Lee [20].

Some Integral Transforms Involving Extended Generalized Gauss Hypergeometric Functions

Communications of The Korean Mathematical Society, 2016

Using the extended generalized integral transform given by Luo et al. [6], 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.