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Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Issue 3 (June 2022)   > Article

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

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