Identities And Relations On The Hermite-based Tangent Polynomials

TL;DR

This paper introduces new Hermite-based tangent polynomials and numbers, explores their identities and relations, and extends to modified and poly-Tangent variants, enriching the mathematical framework of tangent polynomial theory.

Contribution

It presents novel Hermite-based tangent polynomials, including modified and poly-Tangent forms, with new identities and relations not previously studied.

Findings

Derived identities for Hermite-based tangent polynomials

Established relations among various tangent polynomial variants

Extended tangent polynomial theory with new polynomial classes

Abstract

In this note, we introduce and investigate the Hermite-based Tangent numbers and polynomials, Hermite-based modifieed degenerate- Tangent polynomials, poly-Tangent polynomials. We give some identities and relations for these polynomials.