Erratum to "A limit for the k-Gamma and k-Beta function"

Abstract

In this paper, we present some limits for k− Gamma function and k− Beta function by using properties asymptotic of k− Gamma function.

Properties of k-beta function with several variables

“…Also, the researchers [5][6][7][8][9] have worked on the generalized k-gamma and k-beta functions and discussed the following properties:…”

Contiguous Function Relations for k-Hypergeometric Functions

“…They have also studied -zeta functions and -hypergeometric functions based on Pochhammer -symbols for factorial functions. Very recently, many researchers [20][21][22][23] followed the work of Díaz et al, they studied and obtained some consequence results of -beta, -gamma, -zeta, and -hypergeometric functions and their properties. In 2009, Mansour [24] obtained the -generalized gamma function Γ ( ) by functional equations.…”

k-Hypergeometric Series Solutions to One Type of Non-Homogeneous k-Hypergeometric Equations

“…It is clear that the k-hypergeometric series 2 F 1,k has evolved from the hypergeometric series 2 F 1 . Hence, we mention the works of Díaz et al [30,31], Krasniqi [32,33], Kokologiannaki [34], Mubeen et al (see [35][36][37][38][39][40]), Rehman et al [41,42], and the references therein for results on k-hypergeometric series and the homogeneous k-hypergeometric differential equation. In 2005, the Pochhanner k-symbol was developed by Díaz et al [30].…”