A note on the oscillation theory of certain second order differential equations.
Asymptotic estimates for the growth of meromorphic solutions to differential equations in angular domains.
Boutroux's method vs. re-scaling. Lower estimates for the orders of growth of the second and fourth Painlevé transcendents.
Complex Oscillation of Differential Polynomials Generated by Meromorphic Solutions of Linear Differential Equations
Complex oscillation of entire solutions of higher-order linear differential equations.
Complex Oscillation Theory of Differential Polynomials
In this paper, we investigate the relationship between small functions and differential polynomials , where , , are entire functions that are not all equal to zero with
Differential analogues of the Brück conjecture
We give some growth properties for solutions of linear complex differential equations which are closely related to the Brück Conjecture. We also prove that the Brück Conjecture holds when certain proximity functions are relatively small.
Estimation of the hyper-order of entire solutions of complex linear ordinary differential equations whose coefficients are entire functions.
Finite and infinite order of growth of solutions to linear differential equations near a singular point
In this paper, we investigate the growth of solutions of a certain class of linear differential equation where the coefficients are analytic functions in the closed complex plane except at a finite singular point. For that, we will use the value distribution theory of meromorphic functions developed by Rolf Nevanlinna with adapted definitions.
Finite order solutions of complex linear differential equations.
Global properties of the Painlevé transcendents: new results and open questions.
Growth and fixed points of meromorphic solutions of higher order linear differential equations
We investigate the growth and fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives. Our results extend the previous results due to Peng and Chen.
Growth and oscillation of differential polynomials in the unit disc.
Growth and oscillation of solutions to linear differential equations with entire coefficients having the same order.
Growth and oscillation of some class of differential polynomials in the unit disc
Growth and oscillation theory of solutions of some linear differential equations
Growth estimates for solutions of linear complex differential equations.
Growth of meromorphic solutions of higher-order linear differential equations.
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].
Growth of solutions of certain non-homogeneous linear differential equations with entire coefficients.