Some new formulas related to the well-known symmetric Lucas polynomials are the primary
focus of this article. Different approaches are used for establishing these formulas. A matrix …

In this paper, we introduce the Δ h-Gould-Hopper Appell polynomials\mathcal A _n (x, y; h) A
n (xyh) via h-Gould-Hopper polynomials G nh (x, y). These polynomials reduces to Δ h …

I analyze an unexpected connection between multiple orthogonal polynomials, $ d $-
orthogonal polynomials, production matrices and branched continued fractions. This work …

In this paper, we discussed some new properties on the newly defined family of Genocchi
polynomials, called poly-Genocchi polynomials. These polynomials are extensions from the …

The Genocchi polynomial has been increasingly used as a convenient tool to solve some
fractional calculus problems, due to their nice properties. However, like some other …

The present paper contains a small survey on the principal and elementary methods for a
systematic study of general polynomial sequences. For the set of polynomial sequences the …

This paper explores the Schröder polynomials, a class of polynomials that produce the
famous Schröder numbers when x= 1. The three-term recurrence relation and the inversion …

This paper investigates certain Jacobi polynomials that involve one parameter and
generalize the well-known orthogonal polynomials called Chebyshev polynomials of the …

In this paper, an approach to orthogonal polynomials based on matrix calculus is proposed.
Known and new basic results are given, such as recurrence relations and determinant …

In this paper we consider some applications of Odd and Even Lidstone-type polynomial
sequences. In particular we deal with the Odd and Even Lidstone-type and the Generalized …