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Physical Sciences and Engineering Mathematics Analysis

Note on the region of convergence of a polynomial series

Article ID Journal Published Year Pages File Type
9500719 Journal of Approximation Theory 2005 5 Pages PDF
Abstract
The region of convergence of a polynomial series ∑anqn is determined, provided the (weak) asymptotic zero distribution of the sequence qn and the nth root asymptotics of their leading coefficients is known.
Keywords
Region of convergencePolynomial seriesEquilibrium distributionZero distributionLogarithmic potential
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Note on the region of convergence of a polynomial series
Authors
Mario Götz,
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Journal
Journal of Approximation Theory
Journal: Journal of Approximation Theory
Related Categories
Region of convergence
Polynomial series
Equilibrium distribution
Zero distribution
Logarithmic potential
Algebra and Number Theory
Analysis
Applied Mathematics
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