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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Main Authors: Abdel Moneim Y. Lashin, Mohamed K. Aouf
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Mathematics
Subjects:
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.
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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