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...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2020-10-01
|
Series: | Symmetry |
Subjects: | |
Online Access: | https://www.mdpi.com/2073-8994/12/10/1724 |
_version_ | 1797550504755068928 |
---|---|
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. |
first_indexed | 2024-03-10T15:31:15Z |
format | Article |
id | doaj.art-1e2463240ed145a894e2af66bd8a6014 |
institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-03-10T15:31:15Z |
publishDate | 2020-10-01 |
publisher | MDPI AG |
record_format | Article |
series | Symmetry |
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 |
work_keys_str_mv | AT mansourfyassen subordinationandsuperordinationpropertiesforcertainfamilyofanalyticfunctionsassociatedwithmittaglefflerfunction AT adelaattiya subordinationandsuperordinationpropertiesforcertainfamilyofanalyticfunctionsassociatedwithmittaglefflerfunction AT praveenagarwal subordinationandsuperordinationpropertiesforcertainfamilyofanalyticfunctionsassociatedwithmittaglefflerfunction |