Search results for "Polygon"

showing 2 items of 282 documents

THE ARITHMETIC BOHR RADIUS

2007

We study the arithmetic Bohr radius of Reinhardt domains in ℂ n which was successfully used in our study of monomial expansions for holomorphic functions in infinite dimensions. We show that this new Bohr radius is different from the radii invented by Boas and Khavinson and Aizenberg. It gives an explicit formula for the n-dimensional hypercone (which means n-dimensional variants of classical results of Bohr and Bombieri), and moreover asymptotically corrects upper and lower estimates for various types of convex and non-convex Reinhardt domains.

symbols.namesakeMonomialMathematics::Complex VariablesGeneral MathematicssymbolsRegular polygonHolomorphic functionHyperconeArithmeticBohr radiusBohr modelMathematicsThe Quarterly Journal of Mathematics
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The Equiangular Compass

2012

transcendental curvesHistory and Philosophy of Sciencelogarithmic spiralsGeneral MathematicsComputer graphics (images)Compassgeometrical tools classical geometry problems transcendental curves logarithmic spiralsgeometrical tools; classical geometry problems; transcendental curves; logarithmic spiralsclassical geometry problemsEquiangular polygongeometrical toolsSettore MAT/04 - Matematiche ComplementariMathematics
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