Results 41 to 50 of about 801,465 (147)

Is the process of finding f′ chaotic?

open access: yesRevista Integración, 2004
Let (H (C) , ρ) be the metric space of all entire functions f where the metric ρ induces the topology of uniform convergence on compact subsets of the complex plane. Let D : H (C) → H (C) be the linear mapping that assigns to each f its derivative, D(f) =
Héctor Méndez-Lango
doaj  

Maximum modulus of entire functions of two variables and arguments of coefficients of double power series [PDF]

open access: yesМатематичні Студії, 2011
Let $mathcal{L}$ be {the} class of positive continuousfunctions on $(-infty,+infty)$ and {let} $mathcal{L}_+^2$ be{the} class of positive continuous increa-sing with respect toeach variable functions $gamma$ in $mathbb{R}^2$ such that $gamma(r_1,r_2)o ...
O. B. Skaskiv, A. O. Kuryliak
doaj  

Integer-valued entire functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1971
The theory of integer-valued entire functions is organized in an improved fashion. Detailed results are proved when the indicator diagram is a line segment. For the first time, a method is developed for treating completely integer-valued functions with an unsymmetrical growth pattern.
openaire   +2 more sources

Measurable Entire Functions II

open access: yesInternational Mathematics Research Notices
Abstract Let $\mathcal{E}$ denote the space of entire functions with the topology of uniform convergence on compact sets. The action of $\mathbb{C}$ by translations on $\mathcal{E}$ is defined by $T_{z}f(w) = f(w+z)$. Let $\mathcal{U}$ denote the set of entire functions whose orbit under $T$ is dense.
Glücksam, Adi, Weiss, Benjamin
openaire   +2 more sources

Multiplicative functionals and entire functions, II [PDF]

open access: yesStudia Mathematica, 1997
[Part I, cf. Stud. Math. 119, No. 3, 289-297 (1996; Zbl 0868.46037).] The following result is proved in this very interesting paper: Let \(A\) be a complex Banach algebra with a unit \(e\), let \(F\) be a nonconstant entire function, and let \(T\) be a linear functional with \(T(e) = 1\) and such that \(T\circ F\) defined from \(A\) to the complex ...
openaire   +1 more source

On a space of entire functions rapidly decreasing on Rn and its Fourier transform

open access: yesConcrete Operators, 2015
A space of entire functions of several complex variables rapidly decreasing on Rn and such that their growth along iRn is majorized with the help of a family of weight functions is considered in this paper.
Musin Il’dar Kh.
doaj   +1 more source

Inequalities for zeros of entire functions

open access: yesJournal of Inequalities and Applications, 2001
Let be an entire function and be the zeros of . Inequalities for the sums are derived. Under some restrictions they improve the Hadamard theorem.
Gil' MI
doaj  

Ultradifferentiable classes of entire functions. [PDF]

open access: yesAdv Oper Theory, 2023
Nenning DN, Schindl G.
europepmc   +1 more source

Entire functions that share a small function with their difference operators

open access: yesElectronic Journal of Differential Equations, 2016
In this article, we study the uniqueness of entire functions that share small functions of finite order with their difference operators. In particular, we give a generalization of results in [3,4,13].
Abdallah El Farissi   +3 more
doaj  

Powers of the operator u(z)d/dz and their connection with some combinatorial numbers [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
In this paper the operator A = u(z)d/dz is considered, where u is an entire or meromorphic function in the complex plane. The expansion of Aᵏ (k≥1) with the help of the powers of the differential operator D=d/dz is obtained, and it is shown that this ...
Ioana Petkova
doaj   +1 more source

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