M. A. Zemirni

activity

20192025

most citedOn a theorem of A. and C. Rényi and a conjecture of C. C. Yang concerning periodicity of entire functions

6 citations · 6 across the 7 of their papers we have counts for

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8 papers · 1 filter

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.CV2023

On Relative Convex Sequences

Abdallah El Farissi, Zinelaabidine Latreuch, Sabrina Taf +1

In this paper, we introduce the concept of relative convex sequences and establish their fundamental properties, highlighting their similarities to those of convex sequences. Addit…

math.CV2022

New findings on the periodicity of entire functions and their differential polynomials

Mohamed Amine Zemirni, Ilpo Laine, Zinelaabidine Latreuch

In this paper, we seek to explore under what conditions the periodicity of an entire function $f (z)$ follows from the periodicity of a differential polynomial in $f (z)$ . We imp…

math.CV2021★ 6 cited

On a theorem of A. and C. Rényi and a conjecture of C. C. Yang concerning periodicity of entire functions

Zinelaabidine Latreuch, Amine Zemirni

A theorem of A. and C. Rényi on periodic entire functions states that an entire function $f (z)$ must be periodic if $P (f (z))$ is periodic, where $P (z)$ is a non-constant polyn…

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…