Hadamard Product of Certain Multivalent Analytic Functions with Positive Real Parts
This paper aims to provide sufficient conditions for starlikeness and convexity of Hadamard product (convolution) of certain multivalent analytic functions with positive real parts. Moreover, the starlikeness conditions for a certain integral operator and other convolution results are also considere...
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MDPI AG
2022-05-01
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Online Access: | https://www.mdpi.com/2227-7390/10/9/1506 |
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author | Abdel Moneim Y. Lashin Mohamed K. Aouf |
author_facet | Abdel Moneim Y. Lashin Mohamed K. Aouf |
author_sort | Abdel Moneim Y. Lashin |
collection | DOAJ |
description | This paper aims to provide sufficient conditions for starlikeness and convexity of Hadamard product (convolution) of certain multivalent analytic functions with positive real parts. Moreover, the starlikeness conditions for a certain integral operator and other convolution results are also considered. |
first_indexed | 2024-03-10T03:56:25Z |
format | Article |
id | doaj.art-384dfbfd292c4e6ea7405ab2d23b04be |
institution | Directory Open Access Journal |
issn | 2227-7390 |
language | English |
last_indexed | 2024-03-10T03:56:25Z |
publishDate | 2022-05-01 |
publisher | MDPI AG |
record_format | Article |
series | Mathematics |
spelling | doaj.art-384dfbfd292c4e6ea7405ab2d23b04be2023-11-23T08:45:21ZengMDPI AGMathematics2227-73902022-05-01109150610.3390/math10091506Hadamard Product of Certain Multivalent Analytic Functions with Positive Real PartsAbdel Moneim Y. Lashin0Mohamed K. Aouf1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptThis paper aims to provide sufficient conditions for starlikeness and convexity of Hadamard product (convolution) of certain multivalent analytic functions with positive real parts. Moreover, the starlikeness conditions for a certain integral operator and other convolution results are also considered.https://www.mdpi.com/2227-7390/10/9/1506analytic functions<i>p</i>-valent starlike and convex functionssubordinationconvolutionBernardi integral operator |
spellingShingle | Abdel Moneim Y. Lashin Mohamed K. Aouf Hadamard Product of Certain Multivalent Analytic Functions with Positive Real Parts Mathematics analytic functions <i>p</i>-valent starlike and convex functions subordination convolution Bernardi integral operator |
title | Hadamard Product of Certain Multivalent Analytic Functions with Positive Real Parts |
title_full | Hadamard Product of Certain Multivalent Analytic Functions with Positive Real Parts |
title_fullStr | Hadamard Product of Certain Multivalent Analytic Functions with Positive Real Parts |
title_full_unstemmed | Hadamard Product of Certain Multivalent Analytic Functions with Positive Real Parts |
title_short | Hadamard Product of Certain Multivalent Analytic Functions with Positive Real Parts |
title_sort | hadamard product of certain multivalent analytic functions with positive real parts |
topic | analytic functions <i>p</i>-valent starlike and convex functions subordination convolution Bernardi integral operator |
url | https://www.mdpi.com/2227-7390/10/9/1506 |
work_keys_str_mv | AT abdelmoneimylashin hadamardproductofcertainmultivalentanalyticfunctionswithpositiverealparts AT mohamedkaouf hadamardproductofcertainmultivalentanalyticfunctionswithpositiverealparts |