Geometric properties of the complex Baskakov-Stancu operators in the unit disk

In this article, we determine certain conditions under which the partial sums involving thecomplex Baskakov-Stancu operators of analytic univalent functions of bounded turning are also of boundedturning. Moreover, we consider some geometric properties such as starlikeness and convexity for these par...

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Main Author: Rabha Ibrahim
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2015-11-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/21376
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spelling doaj-15d11fd34fec4c819da72ddce155cdea2020-11-24T20:51:33ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882015-11-01331233210.5269/bspm.v33i1.2137610454Geometric properties of the complex Baskakov-Stancu operators in the unit diskRabha Ibrahim0University Malaya Institute of Mathematical SciencesIn this article, we determine certain conditions under which the partial sums involving thecomplex Baskakov-Stancu operators of analytic univalent functions of bounded turning are also of boundedturning. Moreover, we consider some geometric properties such as starlikeness and convexity for these partialsums. The lower bound of the partial sums of univalent functions is computed using the lower bound of thecomplex Baskakov-Stancu operators of analytic functionshttp://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/21376analytic function, bounded turningunivalentpartial sumsunit disk
collection DOAJ
language English
format Article
sources DOAJ
author Rabha Ibrahim
spellingShingle Rabha Ibrahim
Geometric properties of the complex Baskakov-Stancu operators in the unit disk
Boletim da Sociedade Paranaense de Matemática
analytic function, bounded turning
univalent
partial sums
unit disk
author_facet Rabha Ibrahim
author_sort Rabha Ibrahim
title Geometric properties of the complex Baskakov-Stancu operators in the unit disk
title_short Geometric properties of the complex Baskakov-Stancu operators in the unit disk
title_full Geometric properties of the complex Baskakov-Stancu operators in the unit disk
title_fullStr Geometric properties of the complex Baskakov-Stancu operators in the unit disk
title_full_unstemmed Geometric properties of the complex Baskakov-Stancu operators in the unit disk
title_sort geometric properties of the complex baskakov-stancu operators in the unit disk
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2015-11-01
description In this article, we determine certain conditions under which the partial sums involving thecomplex Baskakov-Stancu operators of analytic univalent functions of bounded turning are also of boundedturning. Moreover, we consider some geometric properties such as starlikeness and convexity for these partialsums. The lower bound of the partial sums of univalent functions is computed using the lower bound of thecomplex Baskakov-Stancu operators of analytic functions
topic analytic function, bounded turning
univalent
partial sums
unit disk
url http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/21376
work_keys_str_mv AT rabhaibrahim geometricpropertiesofthecomplexbaskakovstancuoperatorsintheunitdisk
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