Results 21 to 30 of about 833,020 (264)
Note on the zeros of functions with univalent derivatives
International Journal of Mathematics and Mathematical Sciences, 1986 Let E denote the class of functions f(z) analytic in the unit disc D, normalized so that f(0)=0=f′(0)−1, such that each f(k)(z), k≥0 is univalent in D. In this paper we establish conditions for some functions to belong to class E.
Mohammad Salmassi
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Entire functions of bounded index in frame
Математичні 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
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ON THE UNIQUENESS OF ENTIRE FUNCTIONS
Bulletin of the Korean Mathematical Society, 2004 Summary: We study the uniqueness of entire functions and prove the following result: Let \(f(z)\) and \(g(z)\) be two nonconstant entire functions, \(n\geq 7\) a positive integer, and let \(a\) be a nonzero finite complex number. If \(f^n(z)(f(z)-1)f'(z)\) and \(g^n(z)(g(z)-1)g'(z)\) share \(a\) CM, then \(f(z)\equiv g(z)\).
Qiu, Huiling, Fang, Mingliang
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Radius of α-Spirallikeness of Order cos(α)/2 for Entire Functions
MathematicsWe 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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An Entire Holomorphic Function Associated to an Entire Harmonic Function
Journal of Approximation Theory, 1999 Given a harmonic function \(h\) on \(\mathbb{R}^N\), \(N\geq 2\), \((h\in {\mathcal H}_N)\) there is a unique holomorphic function \(f\) on \(\mathbb{C}\), \((f\in{\mathcal E})\) such that \(f(t)=h(t,0,\dots,0)\) for \(t\in\mathbb{R}\). This paper has two purposes. Firstly to obtain theorems on the connection between the growth rates of \(h\) and \(f\)
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Complex small entire functions
Mathematics OpenSmall functions were defined in complex analysis together with the notions of order of growth, lower order of growth, type of growth and lower type of growth. The set of small entire functions with respect to an entire function f is a [Formula: see text]-
Alain Escassut
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International 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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Проблемы анализа, 2021 We consider a reproducing kernel radial Hilbert space of entire functions and prove the equivalence of several sufficient conditions for the existence of unconditional bases of reproducing kernels in such spaces.
K. P. Isaev, R. S. Yulmukhametov
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Square-induced interpolation problems for entire functions
Учёные 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
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 more
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