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# A result on Bruck Conjecture related to Shift Polynomials

## Un résultat sur la Conjecture de Bruck sur les Polynômes Shift

B. Narasimha Rao
Presidency University
India

Shilpa N.
Presidency University
India

Published on 1 June 2022   DOI : 10.21494/ISTE.OP.2022.0839

### Mots-clés

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 $c \in ℂ$. Suitable examples are given to prove the sharpness of sharing exceptional values of Borel and Nevanlinna.

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 $c \in ℂ$. Suitable examples are given to prove the sharpness of sharing exceptional values of Borel and Nevanlinna.