On complex harmonic typically-real functions with a pole at the point zero

Several mathematicians examined classes of meromorphic typically-real functions with a simple pole at the point zero. This article includes results concern class Q' H of complex harmonic typically-real functions with a pole at the point zero. There are determined the relationships between this...

Full description

Bibliographic Details
Main Authors: Jakubowski Z. J., Sibelska А.
Format: Article
Language:English
Published: Petrozavodsk State University 2006-01-01
Series:Проблемы анализа
Online Access:http://issuesofanalysis.petrsu.ru/files/pdf/2015_en.pdf
id doaj-ad26312b5075462aad25da8a5dced300
record_format Article
spelling doaj-ad26312b5075462aad25da8a5dced3002021-07-02T07:27:57ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322006-01-0113112123On complex harmonic typically-real functions with a pole at the point zeroJakubowski Z. J.Sibelska А.Several mathematicians examined classes of meromorphic typically-real functions with a simple pole at the point zero. This article includes results concern class Q' H of complex harmonic typically-real functions with a pole at the point zero. There are determined the relationships between this class and the class Q' r of meromorphic typically-real funtions with a pole at the origin, which was investigated by S. A. Gelfer [4]. We present also coefficient estimates for functions of a subclass of the class Q' H and properties of the Hadamard product with fuctions of the class Q' H.http://issuesofanalysis.petrsu.ru/files/pdf/2015_en.pdf
collection DOAJ
language English
format Article
sources DOAJ
author Jakubowski Z. J.
Sibelska А.
spellingShingle Jakubowski Z. J.
Sibelska А.
On complex harmonic typically-real functions with a pole at the point zero
Проблемы анализа
author_facet Jakubowski Z. J.
Sibelska А.
author_sort Jakubowski Z. J.
title On complex harmonic typically-real functions with a pole at the point zero
title_short On complex harmonic typically-real functions with a pole at the point zero
title_full On complex harmonic typically-real functions with a pole at the point zero
title_fullStr On complex harmonic typically-real functions with a pole at the point zero
title_full_unstemmed On complex harmonic typically-real functions with a pole at the point zero
title_sort on complex harmonic typically-real functions with a pole at the point zero
publisher Petrozavodsk State University
series Проблемы анализа
issn 2306-3424
2306-3432
publishDate 2006-01-01
description Several mathematicians examined classes of meromorphic typically-real functions with a simple pole at the point zero. This article includes results concern class Q' H of complex harmonic typically-real functions with a pole at the point zero. There are determined the relationships between this class and the class Q' r of meromorphic typically-real funtions with a pole at the origin, which was investigated by S. A. Gelfer [4]. We present also coefficient estimates for functions of a subclass of the class Q' H and properties of the Hadamard product with fuctions of the class Q' H.
url http://issuesofanalysis.petrsu.ru/files/pdf/2015_en.pdf
work_keys_str_mv AT jakubowskizj oncomplexharmonictypicallyrealfunctionswithapoleatthepointzero
AT sibelskaa oncomplexharmonictypicallyrealfunctionswithapoleatthepointzero
_version_ 1721335961520963584