# Zeros of Sequences of Partial Sums and Overconvergence

Serdica Mathematical Journal (2008)

- Volume: 34, Issue: 2, page 467-482
- ISSN: 1310-6600

## Access Full Article

top## Abstract

top## How to cite

topKovacheva, Ralitza K.. "Zeros of Sequences of Partial Sums and Overconvergence." Serdica Mathematical Journal 34.2 (2008): 467-482. <http://eudml.org/doc/281398>.

@article{Kovacheva2008,

abstract = {2000 Mathematics Subject Classification: 30B40, 30B10, 30C15, 31A15.We are concerned with overconvergent power series. The main idea is to relate the distribution of the zeros of subsequences of partial sums and the phenomenon of overconvergence. Sufficient conditions for a power series to be overconvergent in terms of the distribution of the zeros of a subsequence are provided, and results of Jentzsch-Szegö type about the asymptotic distribution of the zeros of overconvergent subsequences are stated.},

author = {Kovacheva, Ralitza K.},

journal = {Serdica Mathematical Journal},

keywords = {Overconvergence; Hadamard-Ostrowski Gaps; Equilibrium Measure; overconvergence; Hadamard-Ostrowski gaps; equilibrium measure},

language = {eng},

number = {2},

pages = {467-482},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Zeros of Sequences of Partial Sums and Overconvergence},

url = {http://eudml.org/doc/281398},

volume = {34},

year = {2008},

}

TY - JOUR

AU - Kovacheva, Ralitza K.

TI - Zeros of Sequences of Partial Sums and Overconvergence

JO - Serdica Mathematical Journal

PY - 2008

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 34

IS - 2

SP - 467

EP - 482

AB - 2000 Mathematics Subject Classification: 30B40, 30B10, 30C15, 31A15.We are concerned with overconvergent power series. The main idea is to relate the distribution of the zeros of subsequences of partial sums and the phenomenon of overconvergence. Sufficient conditions for a power series to be overconvergent in terms of the distribution of the zeros of a subsequence are provided, and results of Jentzsch-Szegö type about the asymptotic distribution of the zeros of overconvergent subsequences are stated.

LA - eng

KW - Overconvergence; Hadamard-Ostrowski Gaps; Equilibrium Measure; overconvergence; Hadamard-Ostrowski gaps; equilibrium measure

UR - http://eudml.org/doc/281398

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.