Results 11 to 20 of about 801,465 (147)

Entire functions that share two pairs of small functions

Open Mathematics, 2021
In this paper, we study the unicity of entire functions and their derivatives and obtain the following result: let ff be a non-constant entire function, let a1{a}_{1}, a2{a}_{2}, b1{b}_{1}, and b2{b}_{2} be four small functions of ff such that a1≢b1{a}_ ...
Huang Xiaohuang, Deng Bingmao, Fang Mingliang   +2 more
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Entire Functions with Asymptotic Functions.

MATHEMATICA SCANDINAVICA, 1995
Let \(A\) be the class of plane curves \(z = z(t)\) without self-intersections such that \(z(0)= 0\), \(\lim_{t \to \infty} z(t) = \infty\), for any \(T \in (0, \infty)\) the curve \(z = z(t)\), \(t \in [0,T]\) be a union of a finite number of line segments.
Hinkkanen, A., Rossi, John
openaire   +2 more sources

Entire Bivariate Functions of Exponential Type II

Математичні Студії, 2023
Let $f(z_{1},z_{2})$ be a bivariate entire function and $C$ be a positive constant. If $f(z_{1},z_{2})$ satisfies the following inequality for non-negative integer $M$, for all non-negative integers $k,$ $l$ such that $k+l\in\{0, 1, 2, \ldots, M\}$, for ...
A. Bandura, F. Nuray
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A note on a functional inequality

International Journal of Mathematics and Mathematical Sciences, 1992
We prove: If r1,…,rk are (fixed) positive real numbers with ∏j=1krj>1, then the only entire solutions φ:ℂ→ℂ of the functional inequality∏j=1k|φ(rjz)|≥(∏j=1krj)|φ(z)|kare φ(z)=czn, where c is a complex number and n is a positive integer.
Horst Alzer
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ON APPLICATIONS OF THE DIHEDRAL GROUP TO INTERPOLATION PROBLEMS FOR ENTIRE FUNCTIONS

Проблемы анализа, 2023
We consider a particular case of the dihedral group of rotations and study linear poly-element functional equations associated with that group. We search for a solution in the class of functions that are holomorphic in the plane with a cut along “half”
Garif’yanov F. N., Strezhneva E. V.
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EQUIVALENT CONDITIONS FOR THE EXISTENCE OF UNCONDITIONAL BASES OF REPRODUCING KERNELS IN SPACES OF ENTIRE FUNCTIONS

Проблемы анализа, 2021
We consider a reproducing kernel radial Hilbert space of entire functions and prove the equivalence of several sufficient conditions for the existence of unconditional bases of reproducing kernels in such spaces.
K. P. Isaev, R. S. Yulmukhametov
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About the defects of curves holomorphic in the half plane

International Journal of Mathematics and Mathematical Sciences, 1985
A study is made on the defects of curves holomorphic in the half plane. Several results are proved.
Moqbul Hossain
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Note on the zeros of functions with univalent derivatives

International Journal of Mathematics and Mathematical Sciences, 1986
Let E denote the class of functions f(z) analytic in the unit disc D, normalized so that f(0)=0=f′(0)−1, such that each f(k)(z), k≥0 is univalent in D. In this paper we establish conditions for some functions to belong to class E.
Mohammad Salmassi
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Entire functions of bounded index in frame

Математичні Студії, 2020
We introduce a concept of entire functions having bounded index in a variable direction, i.e. in a frame. An entire function $F\colon\ \mathbb{C}^n\to \mathbb{C}$ is called a function of bounded frame index in a frame $\mathbf{b}(z)$, if~there exists ...
A.I. Bandura
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Radius of α-Spirallikeness of Order cos(α)/2 for Entire Functions

Mathematics
We determine the radius of α-spirallikeness of order cos(α)/2 for entire functions represented as infinite products of their positive zeros. The discussion includes several examples featuring special functions such as Gamma functions, Bessel functions ...
Narjes Alabkary, Saiful R. Mondal
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