Results on uniqueness of a polynomial and difference differential polynomial

Preetham N. Raj, Harina P. Waghamore

Inspired by numerous studies on the difference analogues of the Bruck's conjecture, in this paper, we demonstrate the uniqueness of non-constant polynomial and a difference differential polynomial, both generated by a non-constant meromorphic function g, when they share a small function with finite weight. Our findings build upon and generalize a recent result of Chakraborty [4]. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16(2) (2023), pp. 79-96