Majorations effectives
Meromorphe Funktionen, die mit ihrer Ableitung Werte teilen.
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...
Meromorphic Function Sharinga Small Function with its Differential Polynomial
In this paper we improve, generalize and extend a number of recent results related to a problem of meromorphic function sharing a small function with its differential polynomial which are the continuation of a result earlier obtained by R. Brück.
Meromorphic function that shares one small function with its derivative.
Meromorphic functions and also their first two derivatives have the same zeros.
Meromorphic functions of infinite order in the angular domain
We investigate the value distribution of meromorphic functions in the angular domain. In particular, we show a close relationship between radially distributed values and Borel directions of transcendental meromorphic functions of infinite order in some angular domains.
Meromorphic functions of the form f(z) = Σn=1∞ an/(z - zn).
We prove some results on the zeros of functions of the form f(z) = Σn=1∞ an/(z - zn), using quasiconformal surgery, Fourier series methods, and Baernstein's spread theorem. Our results have applications to fixpoints of entire functions.
Meromorphic functions sharing a small function.
Meromorphic functions sharing one value.
Meromorphic functions sharing three values.
Meromorphic functions sharing three values with finite weight
Using the idea of weighted sharing we prove some theorems on uniqueness of meromorphic functions that share three values, which improve and supplement some results of Yi. Also we solve a problem recently raised by the present author [Austral. J. Math. Anal. Appl. 3 (2006)]. Examples are provided to show that some results are sharp.
Meromorphic functions sharing three values with weights.
Meromorphic functions sharing two sets
In the paper we discuss the uniqueness problem for meromorphic functions that share two sets and prove five theorems which improve and supplement some results earlier given by Yi and Yang [13], Lahiri and Banerjee [5].
Meromorphic functions that share a nonzero polynomial IM
We study the uniqueness theorems of meromorphic functions concerning differential polynomials sharing a nonzero polynomial IM, and obtain two theorems which will supplement two recent results due to X. M. Li and L. Gao.
Meromorphic functions that share one value with their derivatives.
Meromorphic functions with shared limit values.
Meromorphic solutions of a kind of functional equations of Diophantine type
We apply Nevanlinna's value distribution theory to show that some functional equations of Diophantine type have no admissible meromorphic solutions. This result confirms a recent conjecture of Li and Yang.
Meromorphic Solutions of Higher Order System of Algebraic Differential Equations.
Meromorphic solutions of q-shift difference equations
We establish a q-shift difference analogue of the logarithmic derivative lemma. We also investigate the value distributions of q-shift difference polynomials and the growth of solutions of complex q-shift difference equations.