The study presented in this paper follows the line of research created by fact that employing monomiality principle, new outcomes are produced. This article deals with inducement Δh tangent-based Appell polynomials and derivation certain its characterizations such as explicit form, determinant etc. These designed to exhibit symmetries themselves or capture describe symmetrical patterns mathemat...

In a previous paper [7], we defined a sequence of q-median Genocchi numbers H2n+1. In the present paper we shall prove a q-analogue of Barsky’s theorem about the 2-adic properties of the median Genocchi numbers.

The goal of this paper is to give a form the operator involving generating function Apostol-Genocchi polynomials order α. Applying Korovkin theorem, we arrive at convergence with aid moments and central moments. We determine rate using several tools such as -functional, modulus continuity, second continuity. also type Voronovskaya theorem for estimating error. Moreover, investigate some results...

Abstract. The aim of this paper is to define new generating functions. By applying the Mellin transformation formula to these generating functions, we define q-analogue of Genocchi zeta function, q-analogue Hurwitz type Genocchi zeta function, q-analogue Genocchi type l-function and two-variable qGenocchi type l-function. Furthermore, we construct new genereting functions of q-Hardy-Berndt type...