Growth of Solutions of Complex Differential Equations in a Sector of the Unit Disc

In this paper, we deal with the growth of solutions of homogeneous linear complex differential equation by using the concept of lower [\textit{p,q}]-order and lower [\textit{p,q}]-type in a sector of the unit disc instead of the whole unit disc, and we obtain similar results as in the case of the unit disc.Comment: 21 page

On Picard Value Problem of Some Difference Polynomials

In this paper, we study the value distribution of zeros of certain nonlinear difference polynomials of entire functions of finite order.Comment: 17 page

Differential polynomials generated by solutions of second order non-homogeneous linear differential equations

This paper is devoted to studying the growth and the oscillation of solutions of the second order non-homogeneous linear differential equation f′′ + Aea1z f′ + B(z) ea2z f = F(z) ea1z, where A, a1, a2 are complex numbers, B(z) (≢ 0) and F(z) (≢ 0) are entire functions with order less than one. Moreover, we investigate the growth and the oscillation of some differential polynomials generated by solutions of the above equation

Nonhomogeneous linear differential polynomials generated by solutions of complex differential equations in the unit disc

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Growth of (α,β,γ)(\alpha ,\beta ,\gamma )-order solutions of linear differential equations with entire coefficients

The main aim of this paper is to study the growth of solutions of higher order linear differential equations using the concepts of $(\alpha ,\beta ,\gamma )$-order and $(\alpha ,\beta ,\gamma )$-type. We obtain some results which improve and generalize some previous results of Kinnunen \cite{13}, Long et al. \cite{L} as well as Bela\"{\i}di \cite{b3}, \cite{b5}.Comment: 21 page

Finite Logarithmic Order Meromorphic Solutions of Complex Linear Delay-Differential Equations

In this article, we study the growth of meromorphic solutions of linear delay-differential equation of the form \begin{equation*} \sum_{i=0}^{n}\sum_{j=0}^{m}A_{ij}(z)f^{(j)}(z+c_{i})=F(z), \end{equation*}% where $A_{ij}(z)$ $(i=0,1,\ldots ,n,j=0,1,\ldots ,m,n,m\in \mathbb{N})$ and $F(z)$ are meromorphic of finite logarithmic order, $c_{i}(i=0,\ldots ,n)$ are distinct non-zero complex constants. We extend those results obtained recently by Chen and Zheng, Bellaama and Bela\"{\i}di to the logarithmic lower order.Comment: 23 page

GROWTH OF SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS

This paper is devoted to studying the growth of solutions of the higher order nonhomogeneous linear differential equation f(k) + Ak−1f(k−1) + ... + A2f " + (D1 (z) + A1 (z) eP(z)) f ' + (D0 (z) + A0 (z)e Q(z)) f = F (k ≥ 2) , where P (z) , Q(z) are nonconstant polynomials such that deg P = degQ = n and Aj (z) (j = 0, 1, ..., k − 1) , F (z) are entire functions with max{p(Aj) (j = 0, 1, ..., k − 1) , p(Dj) (j = 0, 1)} < n. We also investigate the relationship between small functions and the solutions of the above equation