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[Forthcoming] A result on Bruck Conjecture related to Shift Polynomials

[Forthcoming] Un résultat sur la Conjecture de Bruck sur les Polynômes Shift


B. Narasimha Rao
Presidency University
India

Shilpa N.
Presidency University
India



Published on 31 August 2021   DOI :

Abstract

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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.

Entire Function Exceptional Values Differential-Difference Polynomial Value Sharing

Entire Function Exceptional Values Differential-Difference Polynomial Value Sharing