Several Characterizations of Δ<i>_h</i>-Doped Special Polynomials Associated with Appell Sequences

Abstract

The study presented in this paper follows the line of research created by the fact that by employing the monomiality principle, new outcomes are produced. This article deals with the inducement of Δh tangent-based Appell polynomials and derivation of certain of its characterizations such as explicit form, determinant form, monomiality principle, etc. These polynomials are designed to exhibit certain symmetries themselves or to capture and describe symmetrical patterns in mathematical structures. Further, certain members of Δh Appell polynomials such as Δh Bernoulli, Euler, and Genocchi polynomials are taken, and their corresponding results are obtained.

Keywords

• Δ<i>_h</i> polynomials
• tangent and Appell polynomials
• monomiality principle
• determinant form
• series representations
• differential equation