In this paper, we introduce a class of new classes of degenerate unified polynomials and we
show some algebraic and differential properties. This class includes the Appell-type …

An operational matrix method based on generalized Bernoulli polynomials of level m is
introduced and analyzed in order to obtain numerical solutions of initial value problems. The …

Special polynomials play an important role in several subjects of mathematics, engineering,
and theoretical physics. Many problems arising in mathematics, engineering, and …

The main goal of the present article is to derive some new classes of differential equations
including partial and integrodifferential equations for the 3-variable Hermite-Frobenius-Euler …

Through a modification on the parameters associated with generating function of the q‐
extensions for the Apostol type polynomials of order α and level m, we obtain some new …

This paper is concerned with the generalized Euler polynomial matrix $\E^{(\alpha)}(x) $ and
the Euler matrix $\E $. Taking into account some properties of Euler polynomials and …

One can find in the mathematical literature many recent papers studying the generalized
Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials, defined by means of …

In this paper, we consider a novel family of the mixed-type hypergeometric Bernoulli–
Gegenbauer polynomials. This family represents a fascinating fusion between two distinct …

This paper aims to show new algebraic properties from the q-generalized Bernoulli
polynomials B n [m-1](x; q) of level m, as well as some others identities which connect this …

2 are special polynomials obtained by use of the generating function method. These
polynomials represent an interesting mixture between two classes of special functions …