Journal of Siberian Federal University. Mathematics & Physics / On Certain New Eulerian, Laplace and Edwards-type Integrals Comprising Generalised Hypergeometric Functions

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors
Ambika Narayana; Shantha Kumari Kurumujji
Contact information
Ambika Narayana: Research Center, Department of Mathematics A J Institute of Engineering and Technology (Visvesvaraya Technological University (VTU), Belagavi) Mangaluru-575006, Karnataka, India; Department of Mathematics NMAM Institute of Technology, Nitte (Deemed to be University) Nitte, 574110, Karnataka, India; OCRID: 0009-0004-5849-424X; Shantha Kumari Kurumujji: Department of Mathematics A J Institute of Engineering and Technology (Visvesvaraya Technological University (VTU), Belagavi) Mangaluru-575006, Karnataka, India; OCRID: 0000-0002-2153-0524
Keywords
generalized hypergeometric function; classical summation theorems; Eulerian-type integral; Laplace-type integral; Edwards-type integral
Abstract

In 2018, Masjed–Jamei & Koepf [12] established some summation theorems for the gen- eralized hypergeometric functions. In 2021, Awad et al. [3] investigated extensions of these classical summation theorems for the series 3F2 and 4F3, with applications in Eulerian-type and Laplace-type Integrals. In this study, new Eulerian, Laplace, and Edwards-type integrals are established using ex- tensions of the classical summation theorems provided by Awad et al. [3]. As special instances of our primary findings, the findings from previous studies by Awad et al. [3], Koepf et al. [9] and Kim et al. [7] are also demonstrated

Pages
568–579
EDN
XFNSTE
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/156167