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A Jentzsch-Type-Theorem

A Jentzsch-Type-Theorem Suppose that $\matrix\sum^\infty_v=0\ a_vz^v$ is a power series with radius of convergence 1 and denote by $S_n(z)\matrix\sum^n_v=0\ a_vz^v$ its partial sums. In this paper, we investigate properties of the mapping $\omega = S_n(z)$ http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

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References (3)

Publisher
Springer Journals
Copyright
Copyright © 2008 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321683
Publisher site
See Article on Publisher Site

Abstract

Suppose that $\matrix\sum^\infty_v=0\ a_vz^v$ is a power series with radius of convergence 1 and denote by $S_n(z)\matrix\sum^n_v=0\ a_vz^v$ its partial sums. In this paper, we investigate properties of the mapping $\omega = S_n(z)$

Journal

Computational Methods and Function TheorySpringer Journals

Published: Jul 25, 2007

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