On Fabry's gap theorem
Archivum Mathematicum (2002)
- Volume: 038, Issue: 4, page 307-309
- ISSN: 0044-8753
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Abstract
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topPuchta, Jan-Christoph. "On Fabry's gap theorem." Archivum Mathematicum 038.4 (2002): 307-309. <http://eudml.org/doc/248932>.
@article{Puchta2002,
abstract = {By combining Turán’s proof of Fabry’s gap theorem with a gap theorem of P. Szüsz we obtain a gap theorem which is more general then both these theorems.},
author = {Puchta, Jan-Christoph},
journal = {Archivum Mathematicum},
keywords = {gap theorems; lacunary series; power sum method; gap theorems; lacunary series; power sum method},
language = {eng},
number = {4},
pages = {307-309},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On Fabry's gap theorem},
url = {http://eudml.org/doc/248932},
volume = {038},
year = {2002},
}
TY - JOUR
AU - Puchta, Jan-Christoph
TI - On Fabry's gap theorem
JO - Archivum Mathematicum
PY - 2002
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 038
IS - 4
SP - 307
EP - 309
AB - By combining Turán’s proof of Fabry’s gap theorem with a gap theorem of P. Szüsz we obtain a gap theorem which is more general then both these theorems.
LA - eng
KW - gap theorems; lacunary series; power sum method; gap theorems; lacunary series; power sum method
UR - http://eudml.org/doc/248932
ER -
References
top- Landau L., Darstellung und Begründung einiger neuerer Ergebnisse der Funktionentheorie, Berlin 1929. (1929)
- Turán P., On the gap-theorem of Fabry, Acta Math. Sci. Acad. Hung. 1 (1947), 21–29. (1947) Zbl0029.39302MR0022905
- Turán P., On a new method of analysis and its applications, Wiley-Interscience Publication, New York etc. (1984). (1984) Zbl0544.10045MR0749389
- Szüsz P., On Hadamard’s gap theorem, Studies in pure mathematics to the memory of Paul Turán, Budapest 1983, 733–736. (1983) Zbl0523.30001MR0820266
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