Finding mixed families of special polynomials associated with Appell sequences

TL;DR

This paper introduces new mixed special polynomial families linked to Appell sequences, establishing their properties, operational rules, identities, and determinantal definitions, providing a general framework for their analysis.

Contribution

It presents novel mixed polynomial families associated with Appell sequences, along with their properties, operational rules, and determinantal definitions, expanding the understanding of special polynomials.

Findings

Derived properties and identities of the new polynomial families

Established operational rules connecting these families to known polynomials

Provided determinantal definitions for the associated polynomials

Abstract

In this paper, certain mixed special polynomial families associated with Appell sequences are introduced and their properties are established. Further, operational rules providing connections between these families and the known special polynomials are established, which are used to derive the identities and results for the members of these new families. Determinantal definitions of the polynomials associated with Appell family is also derived. The approach presented is general.