Although in most cases continuous orthogonal polynomials are used as basis functions for the approximate solution of equations, recently discrete orthogonal polynomials have been noticed for solving stochastic differential equations [36] and in numerical fluid dynamics problems [13] because of the behavior and property of these polynomials [15].
These Sobolev spaces appear in a natural way and are a very useful tool when we study the asymptotic behavior of Sobolev orthogonal polynomials (see [7, 19, 20, 21, 33, 34, 35, 37, 39]).
Estimations fix the parameters of these polynomials.
We study some properties of these polynomials, which are related to Genocchi polynomials and Changhee polynomials.
Most of these polynomials share numerous interesting properties.
We also present here important properties of these polynomials.
The q-Fourier series expansions of these polynomials are given.
The goal of this paper is to consider the Appell-type Changhee polynomials, another version of the Changhee polynomials in (3), and derive some properties of these polynomials.
We define the - -Euler polynomials and obtain the interpolation functions and the Hurwitz type zeta functions of these polynomials.
In this paper, we consider the Appell-type Changhee polynomials and derive some properties of these polynomials.
