M. A. Zemirni

activity

20192025

collaborators

5 papers

math.CV2025

Tumura-Clunie Differential Equations with Applications to Linear ODE's

Mohamed Amine Zemirni, Zinelaabidine Latreuch

In this paper, we study nonlinear differential equations of Tumura-Clunie type, $f^{n} + P (z, f) = h,$ where $ n \geq 2 $ is an integer, $ P(z, f) $ is a differential polynomia…

math.CV2020

On the limits of real-valued functions in sets involving $ψ$ -density, and applications

J. Heittokangas, Z. Latreuch, J. Wang +1

We prove new results on upper and lower limits of real-valued functions by means of $ψ$ -densities introduced by P. D. Barry in 1962. This allows us to improve several existing resu…

math.CV2020

On Petrenko's deviations and second order differential equations

J. Heittokangas, M. A. Zemirni

New results on the oscillation of solutions of $f^{''} + A (z) f = 0$ and on the growth of solutions of $f^{''} + A (z) f^{'} + B (z) f = 0$ are obtained, where $A$ and $B$ are entire functions. Petrenko's…

math.CV2019

On meromorphic solutions of non-linear differential equations of Tumura-Clunie type

Janne Heittokangas, Zinelaabidine Latreuch, Jun Wang +1

Meromorphic solutions of non-linear differential equations of the form $f^{n} + P (z, f) = h$ are investigated, where $n \geq 2$ is an integer, $h$ is a meromorphic function, and $P (z, f)$ i…

math.CV2019

On the number of linearly independent rapid solutions to linear differential and linear difference equations

Janne Heittokangas, Hui Yu, M. Amine Zemirni

Assuming that $A_{0}, \dots, A_{n - 1}$ are entire functions and that $p \in {0, \dots, n - 1}$ is the smallest index such that $A_{p}$ is transcendental, then, by a classical theorem of Fr…