6 citations · 11 across the 9 of their papers we have counts for
11 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…
Convergence of sub-series' and sub-signed series' in terms of the asymptotic -density
Janne Heittokangas, Zinelaabidine Latreuch
Given a non-negative real sequence such that the series diverges, it is known that the size of an infinite subset can be m…
Asymptotic -densities of subsets of natural numbers
Janne Heittokangas, Zinelaabidine Latreuch
The sizes of subsets of the natural numbers are typically quantified in terms of asymptotic (linear) and logarithmic densities. These concepts have been generalized to weighted …
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 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 Picard Value Problem of Some Difference Polynomials
Zinelâabidine Latreuch, Benharrat Belaïdi
In this paper, we study the value distribution of zeros of certain nonlinear difference polynomials of entire functions of finite order.
On The Problem Of Entire Functions That Share a Small Function With Their Difference Operators
Abdallah El Farissi, Zinelâabidine Latreuch, Benharrat Belaïdi +1
In this paper, we study uniqueness problems for an entire function that shares small functions of finite order with their difference operators. In particular, we give a generalizat…
Entire Functions Sharing Small Functions With Their Difference Operators
Zinelâabidine Latreuch, Abdallah El Farissi, Benharrat Belaidi
We investigate uniqueness problems for an entire function that shares two small functions of finite order with their difference operators. In particular, we give a generalization o…