Complex oscillation of entire solutions of higher-order linear differential equations.
Uniqueness of entire or meromorphic functions sharing one value or a function with finite weight.
Oscillation of solutions of some higher order linear differential equations.
Oscillation results on meromorphic solutions of second order differential equations in the complex plane.
Growth of solutions of a class of complex differential equations
The main purpose of this paper is to partly answer a question of L. Z. Yang [Israel J. Math. 147 (2005), 359-370] by proving that every entire solution f of the differential equation has infinite order and its hyperorder is a positive integer or infinity, where P is a nonconstant entire function of order less than 1/2. As an application, we obtain a uniqueness theorem for entire functions related to a conjecture of Brück [Results Math. 30 (1996), 21-24].
Uniqueness of two analytic functions sharing four values in an angular domain
We deal with the uniqueness problem for analytic functions sharing four distinct values in an angular domain and obtain some theorems which improve the result given by Cao and Yi [J. Math. Anal. Appl. 358 (2009)].
Solutions of non-homogeneous linear differential equations in the unit disc
The main purpose of this paper is to consider the analytic solutions of the non-homogeneous linear differential equation , where all coefficients , F ≢ 0 are analytic functions in the unit disc = z∈ℂ: |z|<1. We obtain some results classifying the growth of finite iterated order solutions in terms of the coefficients with finite iterated type. The convergence exponents of zeros and fixed points of solutions are also investigated.
Analytic functions in the unit disc sharing values in a sector
We deal with the uniqueness of analytic functions in the unit disc sharing four distinct values and obtain two theorems improving a previous result given by Mao and Liu (2009).
Uniqueness results of meromorphic functions whose nonlinear differential polynomials have one nonzero pseudo value
Multiple values and uniqueness problem for meromorphic mappings sharing hyperplanes
The purpose of this article is to deal with multiple values and the uniqueness problem for meromorphic mappings from into the complex projective space ℙⁿ(ℂ) sharing hyperplanes. We obtain two uniqueness theorems which improve and extend some known results.
Uniqueness of meromorphic functions and differential polynomials sharing one value with finite weight
This paper deals with the uniqueness problem for meromorphic functions sharing one value with finite weight. Our results generalize those of Fang, Hong, Bhoosnurmath and Dyavanal.
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