Bounds for counting functions of finite order entire functions

M. I. Gil

doi:10.1080/17476930600757360

Bounds for counting functions of finite order entire functions

M. I. Gil

Department of Mathematics

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

3 Scopus citations

Abstract

The finite order entire functions are considered. Bounds for the counting function of zeros are derived in terms of the Taylor coefficients and Borel transform. In addition, lower bounds for the zeros are established. In appropriate situations our results improve the Jensen inequality and are new even for polynomials.

Original language	English
Pages (from-to)	273-286
Number of pages	14
Journal	Complex Variables and Elliptic Equations
Volume	52
Issue number	4
DOIs	https://doi.org/10.1080/17476930600757360
State	Published - 1 Jan 2007

Keywords

AMS (MOS) Subject Classification: 30D20
Bounds for zeros
Counting function
Entire functions

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1080/17476930600757360

Cite this

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title = "Bounds for counting functions of finite order entire functions",

abstract = "The finite order entire functions are considered. Bounds for the counting function of zeros are derived in terms of the Taylor coefficients and Borel transform. In addition, lower bounds for the zeros are established. In appropriate situations our results improve the Jensen inequality and are new even for polynomials.",

keywords = "AMS (MOS) Subject Classification: 30D20, Bounds for zeros, Counting function, Entire functions",

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note = "Funding Information: This research was supported by the Kamea Fund of the Israel. Publisher Copyright: {\textcopyright} 2007, Copyright Taylor & Francis Group, LLC.",

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KW - Entire functions

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Bounds for counting functions of finite order entire functions

Abstract

Keywords

ASJC Scopus subject areas

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