Bi-univalent properties for certain class of Bazilevič functions defined by convolution and with bounded boundary rotation
Abstract In this paper, we obtain bi-univalent properties for certain class of Bazilevič functions defined by convolution and with bounded boundary rotation. We will find coefficient bounds for |a 2| and |a 3| for the class ℳα,λ,ρ,k,β(f∗h). $\mathcal {M}_{\alpha,\lambda,\rho,k,\beta }(f * h)\mathsf...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-05-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s42787-019-0012-2 |
| _version_ | 1818965322568302592 |
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| author | Mohamed K. Aouf Samar M. Madian Adela O. Mostafa |
| author_facet | Mohamed K. Aouf Samar M. Madian Adela O. Mostafa |
| author_sort | Mohamed K. Aouf |
| collection | DOAJ |
| description | Abstract In this paper, we obtain bi-univalent properties for certain class of Bazilevič functions defined by convolution and with bounded boundary rotation. We will find coefficient bounds for |a 2| and |a 3| for the class ℳα,λ,ρ,k,β(f∗h). $\mathcal {M}_{\alpha,\lambda,\rho,k,\beta }(f * h)\mathsf {.}$ |
| first_indexed | 2024-12-20T13:15:10Z |
| format | Article |
| id | doaj.art-802c094b7224441ba49b636acfa3a446 |
| institution | Directory Open Access Journal |
| issn | 2090-9128 |
| language | English |
| last_indexed | 2024-12-20T13:15:10Z |
| publishDate | 2019-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-802c094b7224441ba49b636acfa3a4462022-12-21T19:39:35ZengSpringerOpenJournal of the Egyptian Mathematical Society2090-91282019-05-012711910.1186/s42787-019-0012-2Bi-univalent properties for certain class of Bazilevič functions defined by convolution and with bounded boundary rotationMohamed K. Aouf0Samar M. Madian1Adela O. Mostafa2Faculty of Science, Department of Mathematics, Mansoura UniversityBasic Sciences Department, Higher Institute for Engineering and TechnologyFaculty of Science, Department of Mathematics, Mansoura UniversityAbstract In this paper, we obtain bi-univalent properties for certain class of Bazilevič functions defined by convolution and with bounded boundary rotation. We will find coefficient bounds for |a 2| and |a 3| for the class ℳα,λ,ρ,k,β(f∗h). $\mathcal {M}_{\alpha,\lambda,\rho,k,\beta }(f * h)\mathsf {.}$http://link.springer.com/article/10.1186/s42787-019-0012-2Bi-univalentBazilevič functionsHadamard productBounded boundary rotation |
| spellingShingle | Mohamed K. Aouf Samar M. Madian Adela O. Mostafa Bi-univalent properties for certain class of Bazilevič functions defined by convolution and with bounded boundary rotation Journal of the Egyptian Mathematical Society Bi-univalent Bazilevič functions Hadamard product Bounded boundary rotation |
| title | Bi-univalent properties for certain class of Bazilevič functions defined by convolution and with bounded boundary rotation |
| title_full | Bi-univalent properties for certain class of Bazilevič functions defined by convolution and with bounded boundary rotation |
| title_fullStr | Bi-univalent properties for certain class of Bazilevič functions defined by convolution and with bounded boundary rotation |
| title_full_unstemmed | Bi-univalent properties for certain class of Bazilevič functions defined by convolution and with bounded boundary rotation |
| title_short | Bi-univalent properties for certain class of Bazilevič functions defined by convolution and with bounded boundary rotation |
| title_sort | bi univalent properties for certain class of bazilevic functions defined by convolution and with bounded boundary rotation |
| topic | Bi-univalent Bazilevič functions Hadamard product Bounded boundary rotation |
| url | http://link.springer.com/article/10.1186/s42787-019-0012-2 |
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