This article is devoted to establishing new formulas concerning generalized Hermite
polynomials (GHPs) that generalize the classical Hermite polynomials. Derivative …

Motivated by their importance and potential for applications in a variety of research fields,
recently, numerous polynomials and their extensions have been introduced and …

A variety of polynomials, their extensions, and variants, have been extensively investigated,
mainly due to their potential applications in diverse research areas. Motivated by their …

In this paper, we introduce a new class of Legendre poly-Genocchi polynomials and give
some identities of these polynomials related to the Stirling numbers of the second kind. The …

In this paper, we introduce the r-central factorial numbers with even indices of the first and
second kind as extended versions of the central factorial numbers with even indices of both …

Due to wide applications, the study of orthogonal polynomials has been a popular research
topic for many years. Many of these polynomials are generated by hypergeometric functions …

Among a remarkably large number of various extensions of polynomials and numbers, and
diverse introductions of new polynomials and numbers, in this paper, we choose to …

In this paper, we propose two new generalizations of the Bernoulli polynomials and
numbers by means of the Wiman function. We also consider the variations in the generating …

NAEEM AHMAD, MOHD GHAYASUDDIN∗ Abstract. The main object of this paper is to
present the two parametric kinds of the generalized Bernoulli polynomials B[p, q− 1] n (x) …

In this paper, a new form of poly-Genocchi polynomials is defined by means of poly-
logarithm, namely, the Apostol-type poly-Genocchi polynomials of higher order with …