Results 21 to 30 of about 801,465 (147)
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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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 ...
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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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Uniqueness of entire functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, Jianming, Fang, Mingliang
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Pontryagin spaces of entire functions. V [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kaltenbäck, M., Woracek, H.
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Some inequalities for entire functions
Let $\mathcal{L}_p$ be the subspace of the space $L_p(\mathbb{R})$ consisting of the restriction to the real axis of all entire functions of exponential type $\le \pi$.
N. Sushchyk, D. Lukivska
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The second coefficient of a function with all derivatives univalent
We consider the second coefficient of a class of functions, univalent and normalized, and with all derivatives univalent in the unit disk D, and improve on a known result. It is also shown that this bound is in a sense best possible.
A. Sathaye, S. M. Shah
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