Results 261 to 270 of about 126,903 (305)

Maximum Modulus Sets and Segre Convexity

Mathematische Nachrichten, 2001
In this paper the authors investigate the relation between the Segre convexity of the boundary \( b\Omega\) of a domain \( \Omega\) in \(\mathbb C^{n}\) and the positivity of the (local) canonical defining function for \(( b \Omega, E, \mathcal F)\), where \(E\) is an \(n\)-dimensional, totally real submanifold of \( b\Omega\) foliated by interpolation
Cœuré, Gérard, Honvault, Pascal
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On a Result of Hayman Concerning the Maximum Modulus Set [PDF]

Computational Methods and Function Theory, 2021
The set of points where an entire function achieves its maximum modulus is known as the maximum modulus set. In 1951, Hayman studied the structure of this set near the origin.
Vasiliki Evdoridou, Leticia Pardo‐Simón, David J Sixsmith   +2 more
exaly   +2 more sources

Research on Comparison of the Maximum Dynamic Shear Modulus Test

Procedia Engineering, 2012
Dynamic soil modulus and damping ratio are the two basic parameters to describe dynamic deformation characteristics of the soil. There are three ways to obtain soil dynamics parameters i.e. field test, laboratory test, and calculating empirical.
Wenxia, Cai, Chuancheng, Yang, Haiyue, Dou   +2 more
exaly   +2 more sources

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On Maximum Modulus of Polynomials with Restricted Zeros

Bulletin of the Iranian Mathematical Society, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chanam, Barchand, Devi, Khangembam Babina, Krishnadas, Kshetrimayum, Devi, Maisnam Triveni   +3 more
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On the Maximum Modulus and the Mean Modulus of an Entire Function

Canadian Mathematical Bulletin, 1969
Let be an entire function, but not a polynomial.
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Derivatives of the maximum modulus of a starlike function

Analysis Mathematica, 1981
Let \(f\) be analytic in the unit disk \(D\) and \(M(r,f)=\max\{| f(z)|\mid| z|= r\}\) for \(r\in (0,1)\). In this paper the author describes the very delicate construction of a function \(f\) and a sequence \((r_ n)_{n\in\mathbb{N}}= (r_ n(f))_{n\in\mathbb{N}}\) with the following properties: 1) \(f(0)= f'(0)- 1=0\), \(f\) is starlike in \(D\), 2 ...
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ON THE MAXIMUM MODULUS PATHS OF A CERTAIN CUBIC

The Quarterly Journal of Mathematics, 1986
Let \(\beta >0\), \(\alpha \beta >1+2\beta\), and consider a polynomial \(z^ 3+\alpha z^ 2-z+\beta\). It is shown that its maximum modulus M(r) is taken on some path from 0 to -1 and then from \(+1\) to \(\infty\), i.e. there is a jump for \(r=1\). In the last formula 2r should be 4r.
Jassim, S. A., London, R. R.
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Maximum Modulus Principle

2011
In this lecture, we shall prove that a function analytic in a bounded domain and continuous up to and including its boundary attains its maximum modulus on the boundary. This result has direct applications to harmonic functions.
Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas   +2 more
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