6 citations · 6 across the 7 of their papers we have counts for
8 papers
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, where \( n \geq 2 \) is an integer, \( P(z, f) \) is a differential polynomia…
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…
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 follows from the periodicity of a differential polynomial in . We imp…
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 must be periodic if is periodic, where is a non-constant polyn…
On the limits of real-valued functions in sets involving -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 -densities introduced by P. D. Barry in 1962. This allows us to improve several existing resu…
On Petrenko's deviations and second order differential equations
J. Heittokangas, M. A. Zemirni
New results on the oscillation of solutions of and on the growth of solutions of are obtained, where and are entire functions. Petrenko's…
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 are investigated, where is an integer, is a meromorphic function, and i…
On the number of linearly independent rapid solutions to linear differential and linear difference equations
Janne Heittokangas, Hui Yu, M. Amine Zemirni
Assuming that are entire functions and that is the smallest index such that is transcendental, then, by a classical theorem of Fr…