Certain fractional formulas of the extended k-hypergeometric functions

Abstract

In this article, we aim to investigate various formulae for the $(p,k)$ ( p , k ) -analogues of Gauss hypergeometric functions, including the integral transforms and the operators of fractional calculus. All the outcomes presented here are of general attractiveness and can yield a number of previous works as special cases.

Solving an inverse nodal problem with Herglotz–Nevanlinna functions in boundary conditions using the second‐kind Chebyshev wavelets method

“…Apart from these, there are some studies in the literature about similar numerical techniques. [25][26][27][28][29][30][31][32][33] The rest of the work will continue as follows. In Section 2, we denote asymptotic forms of eigenvalues, nodal points, and lengths of (1) and ( 2) and prove the uniqueness theorems.…”

“…Akbarpoor et al 24 studied the BVP () and () with $$$ {\delta}_k=0,k=1,2,\dots, d,{\Delta}_l=0,l=2,3,\dots, D $$$, and $$$ {h}_0={H}_0=0 $$$ and used FCW and Chebyshev interpolation methods to get solution of inverse nodal problem in 2019. Apart from these, there are some studies in the literature about similar numerical techniques 25–33 . The rest of the work will continue as follows.…”