Wyniki wyszukiwania - BazTech

1

On the hyper-order of transcendental meromorphic solutions of certain higher order linear differential equations

Hamani K., Belaidi B.

Opuscula Mathematica

|

2017

|

Vol. 37, no. 6

853--874

EN

In this paper, we investigate the growth of meromorphic solutions of the linear differential equation [formula] where k ≥ 2 is an integer, Pj(z) (j = 0,1,... , k — 1) are nonconstant polynomials and hj(z) are meromorphic functions. Under some conditions, we determine the hyper-order of these solutions. We also consider nonhomogeneous linear differential equations.

2

Growth and oscillation of some polynomials generated by solutions of complex differential equations

Latreuch Z., Belaidi B.

Opuscula Mathematica

|

2015

|

Vol. 35, no. 1

85--98

EN

In this paper, we continue the study of some properties on the growth and oscillation of solutions of linear differential equations with entire coefficients of the type [formula] and [formula].

3

Properties of higher order differential polynomials generated by solutions of complex differential equations in the unit disc

Latreuch Z., Belaidi B.

Journal of Mathematics and Applications

|

2014

|

Vol. 37

67--84

EN

The main purpose of this paper is to study the controllability of solutions of the differential equation [...] In fact, we study the growth and oscillation of higher order differential polynomial with meromorphic coefficients in the unit disc [...] generated by solutions of the above kth order differential equation.

4

Differential polynomials generated by second order linear differential equations

Belaidi B., El Farissi A.

Journal of Applied Analysis

|

2008

|

Vol. 14, nr 2

259-271

EN

In this paper, we study fixed points of solutions of the differential equation f" + A1 (z) f' + A0 (z) f = 0, where Aj (z) ( ≡ ≠ 0) (j = 0,1) are transcendental meromorphic functions with finite order. Instead of looking at the zeros of f (z) - z, we proceed to a slight generalization by considering zeros of g (z) -φ(z), where g is a differential polynomial in f with polynomial coefficients,φ is a small meromorphic function relative to f, while the solution f is of infinite order.