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Wiman’s Type Inequality in Multiple-Circular Domain

Axioms, 2021
In the paper we prove for the first time an analogue of the Wiman inequality in the class of analytic functions f∈A0p(G) in an arbitrary complete Reinhard domain G⊂Cp, p∈N represented by the power series of the form f(z)=f(z1,⋯,zp)=∑‖n‖=0+∞anzn with the ...
Andriy Kuryliak, Oleh Skaskiv
doaj   +1 more source

Generalized and Extended Versions of Ankeny–Rivlin and Improved, Generalized, and Extended Versions of Rivlin Type Inequalities for the s^th Derivative of a Polynomial

Mathematics, 2021
Let p(z) be a polynomial of degree n having no zeros in |z|
Kshetrimayum Krishnadas, Reingachan Ngamchui, Barchand Chanam   +2 more
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Maximum modulus sets [PDF]

Annales de l'Institut Fourier, 1981
We investigate some aspects of maximum modulus sets in the boundary of a strictly pseudoconvex domain D of dimension N. If Σ⊂bD is a smooth manifold of dimension N and a maximum modulus set, then it admits a unique foliation by compact interpolation manifolds. There is a semiglobal converse in the real analytic case.
Duchamp, Thomas, Stout, Edgar Lee
openaire   +2 more sources

Wiman's type inequality for analytic and entire functions and $h$-measure of an exceptional sets

Karpatsʹkì Matematičnì Publìkacìï, 2020
Let $\mathcal{E}_R$ be the class of analytic functions $f$ represented by power series of the form $f(z)=\sum\limits\limits_{n=0}^{+\infty}a_n z^n$ with the radius of convergence $R:=R(f)\in(0;+\infty].$ For $r\in [0, R)$ we denote the maximum modulus by
O.B. Skaskiv, A.O. Kuryliak
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Growth estimates for a Dirichlet series and its derivative

Математичні Студії, 2020
Let $A\in(-\infty,+\infty]$, $\Phi$ be a continuous function on $[a,A)$ such that for every $x\in\mathbb{R}$ we have $x\sigma-\Phi(\sigma)\to-\infty$ as $\sigma\uparrow A$, $\widetilde{\Phi}(x)=\max\{x\sigma -\Phi(\sigma)\colon \sigma\in [a,A)\}$ be the ...
S.I. Fedynyak, P.V. Filevych
doaj   +1 more source

Vector-Valued Entire Functions of Several Variables: Some Local Properties

Axioms, 2022
The present paper is devoted to the properties of entire vector-valued functions of bounded L-index in join variables, where L:Cn→R+n is a positive continuous function.
Andriy Ivanovych Bandura, Tetyana Mykhailivna Salo, Oleh Bohdanovych Skaskiv   +2 more
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The Maximum Modulus Set of a Polynomial [PDF]

Computational Methods and Function Theory, 2021
AbstractWe study the maximum modulus set, $${{\mathcal {M}}}(p)$$ M ( p ) , of a polynomial p. We are interested in constructing p so that $${{\mathcal {M}}}(p)$$ M
Pardo-Simón, Leticia, Sixsmith, David J.   +1 more
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Some Inequalities for the Maximum Modulus of Rational Functions

International Journal of Mathematics and Mathematical Sciences, 2021
For a polynomial pz of degree n, it follows from the maximum modulus theorem that maxz=R≥1pz≤Rnmaxz=1pz.
Robert Gardner, Narendra Kumar Govil, Prasanna Kumar   +2 more
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Evaluating the maximum shear modulus (G0) for different bender-soil coupling loads [PDF]

E3S Web of Conferences, 2020
The current paper aims to test the effects of vertical loads on the maximum shear modulus (G0). The tests were undertaken with unsaturated soils in unconfined conditions.
de Paula Caio de Mattos Azevedo, Carnavale Thiago de Souza   +1 more
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Characteristic, Maximum Modulus and Value Distribution [PDF]

Transactions of the American Mathematical Society, 1984
Let f f be an entire function such that log ⁡ M ( r , f ) ∼ T ( r , f ) \log M(r,f)\sim T(r,f) on a set E E of positive upper density. Then f f has no finite deficient values.
Hayman, W. K., Rossi, J. F.
openaire   +2 more sources