О некоторых новых интегралах типа Эйлера, Лапласа и Эдвардса, содержащих обобщенные гипергеометрические функции

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

Publication Details

Journal
SibFU Digital Repository (Siberian Federal University)
Published
2025-06-07
Primary Topic
Mathematical functions and polynomials
Type
article
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article

О некоторых новых интегралах типа Эйлера, Лапласа и Эдвардса, содержащих обобщенные гипергеометрические функции

SibFU Digital Repository (Siberian Federal University)
Mathematical functions and polynomials
article

О некоторых новых интегралах типа Эйлера, Лапласа и Эдвардса, содержащих обобщенные гипергеометрические функции

article en

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

SibFU Digital Repository (Siberian Federal University)
Openalex Percentile: Top 38%
Mathematical functions and polynomials
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О некоторых новых интегралах типа Эйлера, Лапласа и Эдвардса, содержащих обобщенные гипергеометрические функции · SibFU Digital Repository (Siberian Federal University) (2025) | TGRS Research Map | TGRS