Results 1 to 10 of about 112,104 (164)
Some Inequalities for the Maximum Modulus of Rational Functions [PDF]
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 +2 more
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On the maximum modulus of a polynomial and its derivatives [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 Let f(z) be an arbitrary entire function and M(f,r)=max|z|=r|f(z)|. For a polynomial P(z), having no zeros in |z|
K. K. Dewan, Abdullah Mir
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Maximum Modulus of Independence Roots of Graphs and Trees [PDF]
Graphs and Combinatorics, 2020 The independence polynomial of a graph is the generating polynomial for the number of independent sets of each size and its roots are called independence roots. We bound the maximum modulus, $\mbox{maxmod}(n)$, of an independence root over all graphs on $n$ vertices and the maximum modulus, $\mbox{maxmod}_{T}(n)$, of an independence root over all trees
Ben Cameron, Jason Brown
exaly +4 more sources
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 +1 more
openaire +2 more sources
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
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Mathematics, 2021 Let p(z) be a polynomial of degree n having no zeros in |z|
Kshetrimayum Krishnadas +2 more
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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
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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 +2 more
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