Qα-normal families and entire functions

Shai Gul; Shahar Nevo

doi:10.1007/bf03321847

Qα-normal families and entire functions

Shai Gul, Shahar Nevo

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

For every countable ordinal number α, we construct an entire function f = fα, such that the family {f(nz): n ∈ N} is exactly Qα-normal in the unit disk.

Original language	English
Pages (from-to)	597-651
Number of pages	55
Journal	Computational Methods and Function Theory
Volume	12
Issue number	2
DOIs	https://doi.org/10.1007/bf03321847
State	Published - 2012

Keywords

Ordinal number
Qα-normal family
Transfinite induction

All Science Journal Classification (ASJC) codes

Analysis
Computational Theory and Mathematics
Applied Mathematics

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10.1007/bf03321847

Cite this

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title = "Qα-normal families and entire functions",

abstract = "For every countable ordinal number α, we construct an entire function f = fα, such that the family {f(nz): n ∈ N} is exactly Qα-normal in the unit disk.",

keywords = "Ordinal number, Qα-normal family, Transfinite induction",

author = "Shai Gul and Shahar Nevo",

note = "Funding Information: Received January 10, 2010, in revised versions April 8, 2011, March 28, 2012, and April 15, 2012. Published online September 10, 2012. The authors received support from the Israel Science Foundation, Grant No. 395/07. This research is part of the European Science Networking Programme HCAA..",

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AU - Gul, Shai

AU - Nevo, Shahar

N1 - Funding Information: Received January 10, 2010, in revised versions April 8, 2011, March 28, 2012, and April 15, 2012. Published online September 10, 2012. The authors received support from the Israel Science Foundation, Grant No. 395/07. This research is part of the European Science Networking Programme HCAA..

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KW - Ordinal number

KW - Qα-normal family

KW - Transfinite induction

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M3 - مقالة

SN - 1617-9447

VL - 12

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EP - 651

JO - Computational Methods and Function Theory

JF - Computational Methods and Function Theory

IS - 2

ER -

Qα-normal families and entire functions

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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