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

• Autorzy: Milovanović G. V. , Parmar R. K. , Rathie A. K.

Identyfikatory

DOI

10.1515/dema-2018-0025

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Gauss’s summation theorem; Gauss’s second summation theorem; Bailey’s summation theorem; Kummer’s summation theorem; Watson’s summation theorem; Dixon’s summation theorem; Whipple’s first summation theorems; Whipple’s second summation theorems; Dougall’s theorem; Laplace transform; convolution type integrals

PL

twierdzenie Gaussa; twierdzenie Bailey'a; twierdzenie Kummera; twierdzenie Watsona; twierdzenie Dixona; twierdzenie Whipple'a; twierdzenie Dougalla; transformata Laplace'a; splot całkowy

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2018
• Tom: Vol. 51, nr 1
• Strony: 264--276
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Milovanović G. V.

• Serbian Academy of Sciences and Arts, Belgrade, Serbia & University of Niš, Faculty of Sciences and Mathematics, Niš, Serbia

autor

Parmar R. K.

• Department of Mathematics, Government College of Engineering and Technology, Bikaner-334004, Rajasthan, India

autor

Rathie A. K.

• Department of Mathematics, Vedant College of Engineering and Technology, Rajasthan Technical University, Bundi, India

Bibliografia

• [1] Slater L. J., Generalized Hypergeometric Functions, Cambridge University Press, Cambridge, 1966
• [2] Milovanović G. V., Parmar R. K., Rathie A. K., A study of generalized summation theorems for the series 2F1 with an applications to Laplace transforms of convolution type integrals involving Kummer’s functions 1F1, Appl. Anal. Discrete Math., 2018, 12 (1), 257–272
• [3] Slater L. J., Confluent Hypergeometric Functions, Cambridge University Press, New York, 1960

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).