Mathematics > Home > Advances in Pure and Applied Mathematics > Issue 3 (June 2022) > Article
B. Narasimha Rao
Presidency University
India
Shilpa N.
Presidency University
India
Published on 1 June 2022 DOI : 10.21494/ISTE.OP.2022.0839
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