Subordination and Superordination Properties for Certain Family of Analytic Functions Associated with Mittag–Leffler Function

We obtain new outcomes of analytic functions linked with operator <inline-formula><math display="inline"><semantics><mrow><msubsup><mi mathvariant="script">H</mi><mrow><mi>α</mi><mo>,</mo><mi>β</mi&g...

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Main Authors: Mansour F. Yassen, Adel A. Attiya, Praveen Agarwal
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/10/1724
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author Mansour F. Yassen
Adel A. Attiya
Praveen Agarwal
author_facet Mansour F. Yassen
Adel A. Attiya
Praveen Agarwal
author_sort Mansour F. Yassen
collection DOAJ
description We obtain new outcomes of analytic functions linked with operator <inline-formula><math display="inline"><semantics><mrow><msubsup><mi mathvariant="script">H</mi><mrow><mi>α</mi><mo>,</mo><mi>β</mi></mrow><mrow><mi>η</mi><mo>,</mo><mi>k</mi></mrow></msubsup><mrow><mo stretchy="false">(</mo><mi>f</mi><mo stretchy="false">)</mo></mrow></mrow></semantics></math></inline-formula> defined by Mittag–Leffler function. Moreover, new theorems of differential sandwich-type are obtained.
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spelling doaj.art-1e2463240ed145a894e2af66bd8a60142023-11-20T17:37:15ZengMDPI AGSymmetry2073-89942020-10-011210172410.3390/sym12101724Subordination and Superordination Properties for Certain Family of Analytic Functions Associated with Mittag–Leffler FunctionMansour F. Yassen0Adel A. Attiya1Praveen Agarwal2Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam Bin Abdulaziz University, Al-Aflaj 11912, Saudi ArabiaDepartment of Mathematics, College of Science, University of Ha’il, Ha’il 81451, Saudi ArabiaDepartment of Mathematics, Anand International College of Engineering, Jaipur 303012, IndiaWe obtain new outcomes of analytic functions linked with operator <inline-formula><math display="inline"><semantics><mrow><msubsup><mi mathvariant="script">H</mi><mrow><mi>α</mi><mo>,</mo><mi>β</mi></mrow><mrow><mi>η</mi><mo>,</mo><mi>k</mi></mrow></msubsup><mrow><mo stretchy="false">(</mo><mi>f</mi><mo stretchy="false">)</mo></mrow></mrow></semantics></math></inline-formula> defined by Mittag–Leffler function. Moreover, new theorems of differential sandwich-type are obtained.https://www.mdpi.com/2073-8994/12/10/1724differential subordinationsdifferential superordinationssubordinantMittag–Leffler function
spellingShingle Mansour F. Yassen
Adel A. Attiya
Praveen Agarwal
Subordination and Superordination Properties for Certain Family of Analytic Functions Associated with Mittag–Leffler Function
Symmetry
differential subordinations
differential superordinations
subordinant
Mittag–Leffler function
title Subordination and Superordination Properties for Certain Family of Analytic Functions Associated with Mittag–Leffler Function
title_full Subordination and Superordination Properties for Certain Family of Analytic Functions Associated with Mittag–Leffler Function
title_fullStr Subordination and Superordination Properties for Certain Family of Analytic Functions Associated with Mittag–Leffler Function
title_full_unstemmed Subordination and Superordination Properties for Certain Family of Analytic Functions Associated with Mittag–Leffler Function
title_short Subordination and Superordination Properties for Certain Family of Analytic Functions Associated with Mittag–Leffler Function
title_sort subordination and superordination properties for certain family of analytic functions associated with mittag leffler function
topic differential subordinations
differential superordinations
subordinant
Mittag–Leffler function
url https://www.mdpi.com/2073-8994/12/10/1724
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