A Montel-type theorem for mixed differences

TL;DR

This paper generalizes Montel's theorem to mixed differences for polynomials and exponential polynomial functions within a commutative framework, expanding the theorem's applicability.

Contribution

It introduces a generalized Montel-type theorem for mixed differences applicable to polynomials and exponential polynomial functions in a commutative setting.

Findings

Established a Montel-type theorem for mixed differences

Extended classical results to exponential polynomial functions

Applicable in commutative algebraic structures

Abstract

We prove a generalization of classical Montel's theorem for the mixed differences case, for polynomials and exponential polynomial functions, in commutative setting.