Value sharing by an entire function with its derivatives

TL;DR

This paper proves a uniqueness theorem for entire functions that share specific values with their derivatives, advancing understanding of value sharing in complex analysis.

Contribution

It introduces a new uniqueness theorem for entire functions sharing values with their derivatives, expanding the theory of value sharing in complex functions.

Findings

Established a new uniqueness theorem for entire functions

Demonstrated conditions under which functions sharing values with derivatives are identical

Enhanced understanding of value sharing properties in complex analysis

Abstract

We prove a uniqueness theorem for an entire function, which shares certain values with its higher order derivatives.