Polynomial Sequences Associated with the Moments of Hypergeometric Weights

TL;DR

This paper introduces polynomial families linked to hypergeometric weight moments, explores their generating functions, and provides various examples to illustrate their properties.

Contribution

It presents new polynomial families associated with hypergeometric moments and analyzes their generating functions with multiple examples.

Findings

Polynomial families related to hypergeometric moments are characterized.

Various generating functions for these polynomials are derived.

Multiple examples illustrate the properties and applications of these polynomials.

Abstract

We present some families of polynomials related to the moments of weight functions of hypergeometric type. We also consider different types of generating functions, and give several examples.