Zeros of Sequences of Partial Sums and Overconvergence

Kovacheva, 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 -