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A note on the generic nature of Pringsheim functions

A note on the generic nature of Pringsheim functions AbstractWe prove that the power series of a generic function f∈C∞⁢(ℝ)${f\in C^{\infty}(\mathbb{R})}$has radius of convergence zero at every point and provide an explicit example of such a function. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Pure and Applied Mathematics de Gruyter

A note on the generic nature of Pringsheim functions

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References (15)

Publisher
de Gruyter
Copyright
© 2016 by De Gruyter
ISSN
1869-6090
eISSN
1869-6090
DOI
10.1515/apam-2015-0002
Publisher site
See Article on Publisher Site

Abstract

AbstractWe prove that the power series of a generic function f∈C∞⁢(ℝ)${f\in C^{\infty}(\mathbb{R})}$has radius of convergence zero at every point and provide an explicit example of such a function.

Journal

Advances in Pure and Applied Mathematicsde Gruyter

Published: Oct 1, 2016

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