Applications of Subordination for Holomorphic Functions Stated by Generalized By-Product Operator
The aim of this research is to investigate certain problems of differential subordination and superordination of analytic univalent functions in an open unit disk. Furthermore, the universal by-product operator and geometric properties such as coefficient inequalities are investigated. Remarkable re...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2024/8279226 |
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| _version_ | 1841561594350272512 |
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| author | Mustafa I. Hameed Shaheed Jameel Al-Dulaimi Hussaini Joshua Ismael I. Hameed Israa A. Ibrahim Kayode Oshinubi |
| author_facet | Mustafa I. Hameed Shaheed Jameel Al-Dulaimi Hussaini Joshua Ismael I. Hameed Israa A. Ibrahim Kayode Oshinubi |
| author_sort | Mustafa I. Hameed |
| collection | DOAJ |
| description | The aim of this research is to investigate certain problems of differential subordination and superordination of analytic univalent functions in an open unit disk. Furthermore, the universal by-product operator and geometric properties such as coefficient inequalities are investigated. Remarkable results on the differential subordination and superordination of analytic univalent functions and results using higher derivative operator for differential subordination are obtained. Some interesting applications of subordination in the unit disk are obtained using convolution and convexity. |
| format | Article |
| id | doaj-art-e4f92be4801f4128903452963081bc5d |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e4f92be4801f4128903452963081bc5d2025-01-03T01:31:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252024-01-01202410.1155/2024/8279226Applications of Subordination for Holomorphic Functions Stated by Generalized By-Product OperatorMustafa I. Hameed0Shaheed Jameel Al-Dulaimi1Hussaini Joshua2Ismael I. Hameed3Israa A. Ibrahim4Kayode Oshinubi5Department of MathematicsDepartment of Computer ScienceDepartment of MathematicsMinistry of EducationDepartment of MathematicsSchool of InformaticsThe aim of this research is to investigate certain problems of differential subordination and superordination of analytic univalent functions in an open unit disk. Furthermore, the universal by-product operator and geometric properties such as coefficient inequalities are investigated. Remarkable results on the differential subordination and superordination of analytic univalent functions and results using higher derivative operator for differential subordination are obtained. Some interesting applications of subordination in the unit disk are obtained using convolution and convexity.http://dx.doi.org/10.1155/2024/8279226 |
| spellingShingle | Mustafa I. Hameed Shaheed Jameel Al-Dulaimi Hussaini Joshua Ismael I. Hameed Israa A. Ibrahim Kayode Oshinubi Applications of Subordination for Holomorphic Functions Stated by Generalized By-Product Operator International Journal of Mathematics and Mathematical Sciences |
| title | Applications of Subordination for Holomorphic Functions Stated by Generalized By-Product Operator |
| title_full | Applications of Subordination for Holomorphic Functions Stated by Generalized By-Product Operator |
| title_fullStr | Applications of Subordination for Holomorphic Functions Stated by Generalized By-Product Operator |
| title_full_unstemmed | Applications of Subordination for Holomorphic Functions Stated by Generalized By-Product Operator |
| title_short | Applications of Subordination for Holomorphic Functions Stated by Generalized By-Product Operator |
| title_sort | applications of subordination for holomorphic functions stated by generalized by product operator |
| url | http://dx.doi.org/10.1155/2024/8279226 |
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