Results 271 to 280 of about 126,903 (305)
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1973
This chapter continues the study of a property of analytic functions first seen in Theorem IV. 3.11. In the first section this theorem is presented again with a second proof, and other versions of it are also given. The remainder of the chapter is devoted to various extensions and applications of this maximum principle.
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This chapter continues the study of a property of analytic functions first seen in Theorem IV. 3.11. In the first section this theorem is presented again with a second proof, and other versions of it are also given. The remainder of the chapter is devoted to various extensions and applications of this maximum principle.
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ON THE STOKES EQUATIONS: THE MAXIMUM MODULUS THEOREM
Mathematical Models and Methods in Applied Sciences, 2000We consider the boundary value problem for classical solutions to the Stokes equations. We prove the existence, uniqueness and continuous dependence on the boundary data, which are assumed to be continuous only.
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On the Maximum and Minimum Modulus of Rational Functions
Canadian Journal of Mathematics, 2000AbstractWe show that if m, n ≥ 0, λ > 1, and R is a rational function with numerator, denominator of degree ≤ m, n, respectively, then there exists a set ⊂ [0, 1] of linear measure such that for r ∈ ,Here, one may not replace , for any ε > 0.
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The maximum modulus function of a polynomial
Complex Variables, Theory and Application: An International Journal, 1990We establish certain relationships between pairs of polynomials which have the same maximum modulus on an infinite set of concentric circles.
George Csordas +2 more
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Bounds on the maximum modulus of dissociation roots
Discrete Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo Chen +3 more
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On maximum modulus of polynomials
1992Let \(p(z)\) denote a polynomial of degree \(n\geq 3\), \(q(z)= 2^n\overline{p(\overline z^{-1})}\) and let \(M(f,r)= \max[|f(z):|z|= r|]\). An objective of this note is to show that for each positive integer \(s\), \(R\geq 0\), \(\theta\in \langle 0,2\pi\rangle\) there holds the inequality \[ \begin{multlined} |p(\text{Re}^{i\theta})|^s+|q(\text{Re ...
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