3 papers
math.CV2025
Relationship between the value-sharing behavior of an entire function and its derivative, and the analytic structure of a nonlinear differential equation
Junfeng Xu, Sujoy Majumder, Lata Mahato
In this paper, we study uniqueness problems for entire functions that partially share two values with their higher-order derivatives. The results obtained here both improve and gen…
math.CV2025
On the two conjectures
Nabadwip Sarkar, Debabrata Pramanik, Lata Mahato
In this paper, we investigate the uniqueness problem of entire functions that share an entire function with their higher-order difference operators. We obtain two results that conf…
math.CV2025
Meromorphic solution of a certain type of algebraic differential equation
Junfeng Xu, Sujoy Majumder, Nabadwip Sarkar +1
In the paper, we use the idea of normal family to find out the possible solution of the following special case of algebraic differential equation \[P_k\big(z,f,f^{(1)},\ldots, f^{(…