Results 41 to 50 of about 801,465 (147)
Is the process of finding f′ chaotic?
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
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Maximum modulus of entire functions of two variables and arguments of coefficients of double power series [PDF]
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
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Integer-valued entire functions [PDF]
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.
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Measurable Entire Functions II
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
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Multiplicative functionals and entire functions, II [PDF]
[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 ...
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On a space of entire functions rapidly decreasing on Rn and its Fourier transform
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.
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Inequalities for zeros of entire functions
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
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Ultradifferentiable classes of entire functions. [PDF]
Nenning DN, Schindl G.
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Entire functions that share a small function with their difference operators
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
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Powers of the operator u(z)d/dz and their connection with some combinatorial numbers [PDF]
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
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