On certain new Eulerian, Laplace and Edwards-type integrals comprising generalised hypergeometric functions

In 2018, Masjed–Jamei & Koepf [12] established some summation theorems for the generalized hypergeometric functions. In 2021, Awad et al. [3] investigated extensions of these classical summation theorems for the series ${}_3F_2$ and $_4F_3$, with applications in Eulerian-type and Laplace-type Integrals. In this study, new Eulerian, Laplace, and Edwards-type integrals are established using extensions 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.