Covariants of binary forms and new identities for Bernoulli, Euler and Hermite polynomials

TL;DR

This paper introduces a classical invariant theory approach to derive new identities for Bernoulli, Euler, and Hermite polynomials, expanding the mathematical tools available for their analysis.

Contribution

It presents a novel method based on classical invariant theory to systematically find identities for these special polynomials.

Findings

Derived new identities for Bernoulli, Euler, and Hermite polynomials

Provided a general framework for polynomial identity discovery

Enhanced understanding of polynomial relationships through invariant theory

Abstract

Using the methods of classical invariant theory a general approach to finding of identities for Bernulli, Euler and Hermite polynomials is proposed.