$Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth$

Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth

The subclass of a zero order entire function $f$ is pointed out for which the existence of angular $\upsilon$-density for zeros of entire function of zero order is equivalent to convergence in $L^p[0,2\pi]$-metric of its logarithmic derivative.

Bibliographic Details
Main Authors:	M.R. Mostova, M.V. Zabolotskyj
Format:	Article
Language:	English
Published:	Vasyl Stefanyk Precarpathian National University 2015-12-01
Series:	Karpatsʹkì Matematičnì Publìkacìï
Subjects:	logarithmic derivative entire function angular density fourier coefficients slowly increasing function
Online Access:	https://journals.pnu.edu.ua/index.php/cmp/article/view/1399

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spelling	doaj-f517e7f3db604cf5babd98874b8e6f3f2020-11-25T03:06:43ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102015-12-017220921410.15330/cmp.7.2.209-2141399Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growthM.R. Mostova0M.V. Zabolotskyj1Ivan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, UkraineIvan Franko Lviv National University, 1 Universytetska str., 79000, Lviv, UkraineThe subclass of a zero order entire function $f$ is pointed out for which the existence of angular $\upsilon$-density for zeros of entire function of zero order is equivalent to convergence in $L^p[0,2\pi]$-metric of its logarithmic derivative.https://journals.pnu.edu.ua/index.php/cmp/article/view/1399logarithmic derivativeentire functionangular densityfourier coefficientsslowly increasing function
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	M.R. Mostova M.V. Zabolotskyj
spellingShingle	M.R. Mostova M.V. Zabolotskyj Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth Karpatsʹkì Matematičnì Publìkacìï logarithmic derivative entire function angular density fourier coefficients slowly increasing function
author_facet	M.R. Mostova M.V. Zabolotskyj
author_sort	M.R. Mostova
title	Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth
title_short	Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth
title_full	Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth
title_fullStr	Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth
title_full_unstemmed	Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth
title_sort	convergence in $l^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth
publisher	Vasyl Stefanyk Precarpathian National University
series	Karpatsʹkì Matematičnì Publìkacìï
issn	2075-9827 2313-0210
publishDate	2015-12-01
description	The subclass of a zero order entire function $f$ is pointed out for which the existence of angular $\upsilon$-density for zeros of entire function of zero order is equivalent to convergence in $L^p[0,2\pi]$-metric of its logarithmic derivative.
topic	logarithmic derivative entire function angular density fourier coefficients slowly increasing function
url	https://journals.pnu.edu.ua/index.php/cmp/article/view/1399
work_keys_str_mv	AT mrmostova convergenceinlp02pimetricoflogarithmicderivativeandangularupsilondensityforzerosofentirefunctionofslowlygrowth AT mvzabolotskyj convergenceinlp02pimetricoflogarithmicderivativeandangularupsilondensityforzerosofentirefunctionofslowlygrowth
_version_	1724672924780068864

Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth

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