Normality and shared sets of meromorphic functions
The purpose of this paper is to investigate the normal families and shared sets of meromorphic functions. The results obtained complement the related results due to Fang, Liu and Pang.
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.
Normality criteria and multiple values II
Let ℱ be a family of meromorphic functions defined in a domain D, let ψ (≢ 0, ∞) be a meromorphic function in D, and k be a positive integer. If, for every f ∈ ℱ and z ∈ D, (1) f≠ 0, ; (2) all zeros of have multiplicities at least (k+2)/k; (3) all poles of ψ have multiplicities at most k, then ℱ is normal in D.
Normality criteria for families of zero-free meromorphic functions
Let ℱ be a family of zero-free meromorphic functions in a domain D, let n, k and m be positive integers with n ≥ m+1, and let a ≠ 0 and b be finite complex numbers. If for each f ∈ ℱ, has at most nk zeros in D, ignoring multiplicities, then ℱ is normal in D. The examples show that the result is sharp.
Normality criteria of Lahiri's type and their applications.
Normality criterion concerning sharing functions. II.
Normality of composite analytic functions and sharing an analytic function.
Normalization of almost conformal parabolic germs.
Not every annular function is strongly annular.
Note on a role for entire functions of the classes P and P*.
Note on the normal family.
Notes on a generalized -conjecture over function fields
Nouvelles recherches sur les équations fonctionnelles
Null Sets and Analytic Continuation.