A result on Bruck Conjecture related to Shift Polynomials

Abstract

This paper mainly concerns about establishing the Bruck conjecture for differential-difference polynomial generated by an entire function. The polynomial considered is of finite order and involves the entire function f(z) and its shift f(z + c) where c ∈ C. Suitable examples are given to prove the sharpness of sharing exceptional values of Borel and Nevanlinna. 2020 Mathematics Subject Classification. 30D35