New Results on Higher-Order Differential Subordination and Superordination for Univalent Analytic Functions Using a New Operator
We present several new results for higher-order (fourth-order) differential subordination and superordination in this paper by using the new operator <i>H<sub>α</sub></i><sub>,<i>β</i>,</sub><sub><i>δ</i>,<i>ξ</i>,<i>...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-07-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/14/8/1576 |
| _version_ | 1797441719468294144 |
|---|---|
| author | Sarab Dakhil Theyab Waggas Galib Atshan Alina Alb Lupaș Habeeb Kareem Abdullah |
| author_facet | Sarab Dakhil Theyab Waggas Galib Atshan Alina Alb Lupaș Habeeb Kareem Abdullah |
| author_sort | Sarab Dakhil Theyab |
| collection | DOAJ |
| description | We present several new results for higher-order (fourth-order) differential subordination and superordination in this paper by using the new operator <i>H<sub>α</sub></i><sub>,<i>β</i>,</sub><sub><i>δ</i>,<i>ξ</i>,<i>γ</i>,<i>n</i></sub><i>f</i>(<i>v</i>) and offer numerous new findings for fourth-order differential subordination and superordination. The innovative discoveries presented here are connected to those mentioned in previous articles. The differential subordination theory’s characteristics and outcomes are symmetric to the properties gained. Sandwich-type theorems are created by merging differential superordination theory with sandwich-type theorems. |
| first_indexed | 2024-03-09T12:28:12Z |
| format | Article |
| id | doaj.art-e3ce63c7589147a592347db64b5d2b3f |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T12:28:12Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-e3ce63c7589147a592347db64b5d2b3f2023-11-30T22:33:16ZengMDPI AGSymmetry2073-89942022-07-01148157610.3390/sym14081576New Results on Higher-Order Differential Subordination and Superordination for Univalent Analytic Functions Using a New OperatorSarab Dakhil Theyab0Waggas Galib Atshan1Alina Alb Lupaș2Habeeb Kareem Abdullah3Department of Mathematics, Faculty of Education for Girls, University of Kufa, Najaf 54001, IraqDepartment of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniyah 58001, IraqDepartment of Mathematics and Computer Science, University of Oradea, 410087 Oradea, RomaniaDepartment of Mathematics, Faculty of Education for Girls, University of Kufa, Najaf 54001, IraqWe present several new results for higher-order (fourth-order) differential subordination and superordination in this paper by using the new operator <i>H<sub>α</sub></i><sub>,<i>β</i>,</sub><sub><i>δ</i>,<i>ξ</i>,<i>γ</i>,<i>n</i></sub><i>f</i>(<i>v</i>) and offer numerous new findings for fourth-order differential subordination and superordination. The innovative discoveries presented here are connected to those mentioned in previous articles. The differential subordination theory’s characteristics and outcomes are symmetric to the properties gained. Sandwich-type theorems are created by merging differential superordination theory with sandwich-type theorems.https://www.mdpi.com/2073-8994/14/8/1576fourth-orderdifferential subordinationsuperordinationadmissible functionsandwich theoremdominant |
| spellingShingle | Sarab Dakhil Theyab Waggas Galib Atshan Alina Alb Lupaș Habeeb Kareem Abdullah New Results on Higher-Order Differential Subordination and Superordination for Univalent Analytic Functions Using a New Operator Symmetry fourth-order differential subordination superordination admissible function sandwich theorem dominant |
| title | New Results on Higher-Order Differential Subordination and Superordination for Univalent Analytic Functions Using a New Operator |
| title_full | New Results on Higher-Order Differential Subordination and Superordination for Univalent Analytic Functions Using a New Operator |
| title_fullStr | New Results on Higher-Order Differential Subordination and Superordination for Univalent Analytic Functions Using a New Operator |
| title_full_unstemmed | New Results on Higher-Order Differential Subordination and Superordination for Univalent Analytic Functions Using a New Operator |
| title_short | New Results on Higher-Order Differential Subordination and Superordination for Univalent Analytic Functions Using a New Operator |
| title_sort | new results on higher order differential subordination and superordination for univalent analytic functions using a new operator |
| topic | fourth-order differential subordination superordination admissible function sandwich theorem dominant |
| url | https://www.mdpi.com/2073-8994/14/8/1576 |
| work_keys_str_mv | AT sarabdakhiltheyab newresultsonhigherorderdifferentialsubordinationandsuperordinationforunivalentanalyticfunctionsusinganewoperator AT waggasgalibatshan newresultsonhigherorderdifferentialsubordinationandsuperordinationforunivalentanalyticfunctionsusinganewoperator AT alinaalblupas newresultsonhigherorderdifferentialsubordinationandsuperordinationforunivalentanalyticfunctionsusinganewoperator AT habeebkareemabdullah newresultsonhigherorderdifferentialsubordinationandsuperordinationforunivalentanalyticfunctionsusinganewoperator |