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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Sociedade Brasileira de Matemática
2015-11-01
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Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/21376 |
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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 |
_version_ |
1716801845613035520 |