Linear differential polynomials sharing three values with weights.
A question of Gross and weighted sharing of a finite set by meromorphic functions.
A note on Mues' conjecture.
Value distribution of certain differential polynomials.
Uniqueness of a meromorphic function and its derivative.
Value distribution of a Wronskian.
Some normality criteria.
Uniqueness of nonlinear differential polynomials sharing simple and double 1-points.
Uniqueness of meromorphic functions sharing three weighted values.
Inequalities arising out of the value distribution of a differential monomial.
A power of a meromorphic function sharing two small functions with a derivative of the power
In connection to a conjecture of W. Lü, Q. Li and C. Yang (2014), we prove a result on small function sharing by a power of a meromorphic function with few poles with a derivative of the power. Our results improve a number of known results.
Vitali sets.
Uniqueness of meromorphic functions when two linear differential polynomials share the same 1-points
We prove a uniqueness theorem for meromorphic functions involving linear differential polynomials generated by them. As consequences of the main result we improve some previous results.
Linear differential polynomials sharing the same 1-points with weight two
We prove a uniqueness theorem for meromorphic functions involving differential polynomials which improves some previous results and provides a better answer to a question of C. C. Yang.
On a question of Hong Xun Yi
In the paper we prove a uniqueness theorem for meromorphic functions which provides an answer to a question of H. X. Yi.
A normality criterion for meromorphic functions having multiple zeros
We prove a normality criterion for a family of meromorphic functions having multiple zeros which involves sharing of a non-zero value by the product of functions and their linear differential polynomials.
Normality and value sharing with a linear differential polynomial
We prove some normality criteria for a family of meromorphic functions and as an application we prove a value distribution theorem for a differential polynomial.
Uniqueness of meromorphic functions sharing three values
We prove a result on the uniqueness of meromorphic functions sharing three values with weights and as a consequence of this result we improve a recent result of W. R. Lü and H. X. Yi.
Uniqueness of meromorphic functions when two non-linear differential polynomials share a small function
In the paper we deal with the uniqueness of meromorphic functions when two non-linear differential polynomials generated by two meromorphic functions share a small function.
Meromorphic function sharing a small function with a linear differential polynomial
The problem of uniqueness of an entire or a meromorphic function when it shares a value or a small function with its derivative became popular among the researchers after the work of Rubel and Yang (1977). Several authors extended the problem to higher order derivatives. Since a linear differential polynomial is a natural extension of a derivative, in the paper we study the uniqueness of a meromorphic function that shares one small function CM with a linear differential polynomial, and prove the...
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