This article is devoted to present the α-power function, calculus on α-time scale, the α-
logarithm and their applications on α-difference equations. We introduce the α-power …

In this paper, we introduce a comprehensive and expanded framework for generalized
calculus and generalized polynomials in discrete calculus. Our focus is on (q; h)-time scales …

This article is devoted to present (q, h)-analogue of power function which satisfies additivity
and derivative properties similar to the ordinary power function. In the light of nabla (q, h) …

In this paper, we study four discrete Bessel functions which are solutions to the discretization
of Bessel differential equations when the time derivative is replaced by the forward and the …

In recent years, utilizing the generalized quantum exponential function (or say (q, h)-
exponential function) that unifies, and extends q-and h-exponential functions in an efficient …

On a general time scale, polynomials, Taylor's formula, and related subjects are described in
terms of implicit and inefficient recursive relations. In this work, our primary goal is to …