D. Kumar, F. Y. Ayant, A. Singh, P. K. Banerji, “Finite integral formula involving Aleph-function and generalized Mittag–Leffler function”, Probl. Anal. Issues Anal., 2020, Volume 9(27), Issue 1,Pages <nobr>96

This article is cited in 2 papers

Finite integral formula involving Aleph-function and generalized Mittag–Leffler function

D. Kumar^a, F. Y. Ayant^b, A. Singh^c, P. K. Banerji^d

^a Department of Applied Sciences, College of Agriculture, Sumerpur-Pali, Agriculture University of Jodhpur, Jodhpur–342007 (Rajasthan), India
^b Collége Jean L'herminier, Allée des Nymphéas, 83500 La Seyne-sur-Mer, France; Six-Fours-les-Plages 83140, Department of Var, France
^c Department of Mathematics & Statistics, Banasthali Vidyapith, Banasthali-304021(Raj.), India
^d Department of Mathematics & Statistics, Jai Narain Vyas University, Jodhpur–342005 (Raj.) India

Abstract: The aim of this paper is to establish general definite integrals involving product of the Aleph function and the generalized Mittag-Leffler function with general arguments. This integral yields a number of known results as special cases. For the sake of illustration, several corollaries are also presented as special case of our main results.

Keywords: aleph-function, $i$-function, $h$-function, generalized Mittag–Leffler function.

UDC: 517.58, 517.444, 517.521.1

MSC: Primary 33C60, 33C99, 33E12; Secondary 33C05, 33C45

Received: 23.09.2019
Revised: 15.01.2020
Accepted: 15.01.2020

Language: English

DOI: 10.15393/j3.art.2020.7030