Identities involving Laguerre polynomials derived from umbral calculus

TL;DR

This paper explores new identities involving Laguerre, Bernoulli, and Euler polynomials using umbral calculus, revealing novel relationships among these special functions.

Contribution

It introduces new identities linking Laguerre polynomials with Bernoulli and Euler polynomials through umbral calculus techniques.

Findings

Derived identities connecting Laguerre, Bernoulli, and Euler polynomials.

Enhanced understanding of polynomial relationships via umbral calculus.

Potential applications in mathematical analysis and combinatorics.

Abstract

In this paper, we investigate some identities of Laguerre polynomials involving Bernoulli and Euler polynomials which are derived from umbral calculus.