Results 31 to 40 of about 4,845,279 (299)
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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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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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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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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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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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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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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Closure theorems with applications to entire functions with gaps [PDF]
, 1971 In this paper we consider questions of completeness for spaces of continuous functions on a half line which satisfy appropriate growth conditions. The results obtained have consequences in the theory of entire functions with gap power series.
J. M. Anderson +3 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Loneliness is associated with adverse physical and mental health outcomes and remains understudied in children and adolescents undergoing cancer therapy. Pediatric oncology patients may be at increased risk due to medical isolation and disruption of social networks.
Charlotte N. Stahlfeld +5 more
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Entire solutions for the heat equation
Electronic Journal of Differential Equations, 2021 We consider the solutions of the heat equation $$ \partial_t F = \partial_z^2 F $$ which are entire in z and t (caloric functions). We examine the relation of the z-order and z-type of an entire caloric function \(F(t, z)\), viewed as function of z, to ...
Vassilis G. Papanicolaou +2 more
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