Certain Laplace transforms of convolution type integrals involving product of two special pFp functions

Autor:	Rakesh K. Parmar, Arjun K. Rathie, Gradimir V. Milovanović
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Pure mathematics Convolution type integrals Laplace transform 33C90 General Mathematics 010103 numerical & computational mathematics 02 engineering and technology Kummer’s summation theorem Type (model theory) 01 natural sciences Watson’s summation theorem Convolution Dougall’s theorem 0202 electrical engineering electronic engineering information engineering Gauss’s summation theorem Gauss’s second summation theorem 0101 mathematics Dixon’s summation theorem Primary 33C20 Mathematics lcsh:Mathematics lcsh:QA1-939 Secondary 33C05 Product (mathematics) Bailey’s summation theorem 020201 artificial intelligence & image processing Whipple’s first and second summation theorems
Zdroj:	Demonstratio Mathematica, Vol 51, Iss 1, Pp 264-276 (2018)
ISSN:	2391-4661
Popis:	Recently the authors obtained several Laplace transforms of convolution type integrals involving Kummer’s function 1F1 [Appl. Anal. Discrete Math., 2018, 12(1), 257-272]. In this paper, the authors aim at presenting several new and interesting Laplace transforms of convolution type integrals involving product of two special generalized hypergeometric functions pFp by employing classical summation theorems for the series 2F1, 3F2, 4F3 and 5F4 available in the literature.
Databáze:	OpenAIRE
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