Results 21 to 30 of about 3,355,363 (183)
Entire functions of bounded index in frame
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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Entropy of Transcendental entire functions
We prove that all entire transcendental entire functions have infinite topological entropy.Comment: 13 ...
Benini, Anna Miriam +2 more
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Radius of α-Spirallikeness of Order cos(α)/2 for Entire Functions
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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Stable soft extrapolation of entire functions
Soft extrapolation refers to the problem of recovering a function from its samples, multiplied by a fast-decaying window and perturbed by an additive noise, over an interval which is potentially larger than the essential support of the window.
Batenkov, Dmitry +2 more
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We show that any mean-periodic function f can be represented in terms of exponential-polynomial solutions of the same convolution equation f satisfies, i.e., u∗f=0(μ∈E′(ℝn)). This extends to n-variables the work of L.
Carlos A. Berenstein, B. A. Taylor
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Square-induced interpolation problems for entire functions
Linear equations for functions that are analytic in the plane with cuts along the “half” of the square boundary have been considered. A method for their equivalent regularization has been proposed.
F.N. Garifyanov, E.V. Strezhneva
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On Asymmetric Entire Functions [PDF]
We shall obtain a result for entire functions which generalizes (1). To see what to expect, note that p(eiz) is an entire function f(z) of exponential type of a special kind: if h(Q) is its indicator, we have h(-7r/2) =n, but h(7r/2) 1,f(z) has no zeros in ...
openaire +1 more source
On location in a half-plane of zeros of perturbed first order entire functions [PDF]
We consider the entire functions h(z) = X∞ k=0 akz k k! and h~(z) = X∞ k=0 a~kz k k! (a0 = ~a0 = 1; z, ak, a~k ∈ C, k = 1, 2, . . .), provided X∞ k=0 |ak| 2 < ∞, X∞ k=0 |a~k| 2 < ∞ and all the zeros of h(z) are in a half-plane.
Gil Michael
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Some results on entire functions that share one value with their difference operators
In this paper, we give some results on entire functions that share one value with their difference operators. In particular, we prove the following result, which can be regarded as a difference analogue of a result of J.P. Wang and H.X. Yi (J. Math. Anal.
BaoQin Chen, Sheng Li, Fujie Chai
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