Search
Search Results
-
A new entire factorial function
We introduce a new factorial function which agrees with the usual Euler gamma function at both the positive integers and at all half-integers, but...
-
Power of an Entire Function Sharing One Value Partially with Its Derivative
AbstractIn the paper, we investigate the uniqueness problem of a power of an entire function that share one value partially with its derivatives and...
-
On the order and the type of an entire function
In this short article we present some properties regarding the order and the type of an entire function.
-
On Common Borel Direction of Entire Function f and Its q-Difference Operator
The common Borel direction of entire function f ( z ) and its q -difference operator is studied by using Nevanlinna theory. Some conditions of the...
-
An entire function and its k-th derivatives satisfying normality criterion sharing a set of four elements
In this paper, we study a problem to determine the forms of a non-constant entire function f when it shares a set S of 4 distinct elements with its k -...
-
Entire function with its linear differential polynomial normally or weakly shares a set and some related topics
We strive to find different forms of an entire function sharing a doubleton of small functions CM with its linear differential polynomial to extend a...
-
Entire solutions of higher order differential equations with entire coefficients having the same order
In this paper, we consider entire solutions of higher order homogeneous differential equations with the entire coefficients having the same order,...
-
On the L-proximate order and L-proximate type of an entire function
In this paper we have introduced L -proximate order ( L -lower proximate order), L -proximate type ( L -lower proximate type) of an entire function and...
-
Ultradifferentiable classes of entire functions
We study classes of ultradifferentiable functions defined in terms of small weight sequences violating standard growth and regularity requirements....
-
The Periodicity on a Transcendental Entire Function with its Differential Polynomials
We discuss the relationship on the periodicity of a transcendental entire function with its differential polynomials. For example, we obtain that if f ...
-
Entire Function Sharing Two Values with Its kth Derivative with the Glint of Normal Family
In the paper, we use the idea of normal family to investigate the uniqueness problem of entire functions that share two values with their k th...
-
Julia Components of Transcendental Entire Functions with Multiply-Connected Wandering Domains
We investigate some topological properties of Julia components, that is, connected components of the Julia set, of a transcendental entire function f ...
-
On Indicator and Type of an Entire Function with Roots Lying on a Ray
AbstractA well-known extremal problem is considered: find the exact lower bound for all possible types of entire functions of the order
... -
Topological properties of certain iterated entire maps
In this paper it is shown that for a transcendental entire map with certain properties on the distribution of either its zeros, or points in its...
-
An Entire Function that Shares a Small Function with its Derivative and Linear Differential Polynomial
In the paper we prove a uniqueness theorem that extends a result of Wang and Laine (Comput Method Funct Theory (CMFT) 8 (2):327–338,
https://doi.org/10.1007/BF03321691... -
Random Zeros Entire Functions
We propose the construction of entire functions with a given random collection of zeros. There are considered two particular cases. In the first one...
-
Entire solutions of a class of binomial differential equations
In this paper, we answer the questions posed by Gundersen and Yang about the entire solutions of a class of nonlinear homogeneous binomial...