Results 21 to 30 of about 3,355,363 (183)

Entire functions of bounded index in frame

open access: yesМатематичні 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
doaj   +1 more source

Entropy of Transcendental entire functions

open access: yes, 2019
We prove that all entire transcendental entire functions have infinite topological entropy.Comment: 13 ...
Benini, Anna Miriam   +2 more
core   +1 more source

Radius of α-Spirallikeness of Order cos(α)/2 for Entire Functions

open access: yesMathematics
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
doaj   +1 more source

Random Zeros Entire Functions

open access: yesComplex Analysis and Operator Theory, 2023
5 ...
openaire   +2 more sources

Stable soft extrapolation of entire functions

open access: yes, 2018
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
core   +1 more source

Mean-periodic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
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

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2019
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
doaj   +1 more source

On Asymmetric Entire Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1963
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]

open access: yesMathematica Moravica, 2019
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
doaj  

Some results on entire functions that share one value with their difference operators

open access: yesAdvances in Difference Equations, 2018
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
doaj   +1 more source

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