On Certain Class of Bazilevič Functions Associated with the Lemniscate of Bernoulli
Making use of the principle of subordination, we introduce a certain class of multivalently Bazilevic˘ functions involving the Lemniscate of Bernoulli. Also, we obtain subordination properties, inclusion relationship, convolution result, coefficients estimate, and Fekete–Szegö problem for this class...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/6622230 |
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| _version_ | 1832561131513708544 |
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| author | Tamer M. Seoudy Amnah E. Shammaky |
| author_facet | Tamer M. Seoudy Amnah E. Shammaky |
| author_sort | Tamer M. Seoudy |
| collection | DOAJ |
| description | Making use of the principle of subordination, we introduce a certain class of multivalently Bazilevic˘ functions involving the Lemniscate of Bernoulli. Also, we obtain subordination properties, inclusion relationship, convolution result, coefficients estimate, and Fekete–Szegö problem for this class. |
| format | Article |
| id | doaj-art-1a629b875441461ba6b8f41f62e6dbec |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-1a629b875441461ba6b8f41f62e6dbec2025-02-03T01:25:46ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/66222306622230On Certain Class of Bazilevič Functions Associated with the Lemniscate of BernoulliTamer M. Seoudy0Amnah E. Shammaky1Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, EgyptDepartment of Mathematics, Faculty of Science, Jazan University, Jazan, Saudi ArabiaMaking use of the principle of subordination, we introduce a certain class of multivalently Bazilevic˘ functions involving the Lemniscate of Bernoulli. Also, we obtain subordination properties, inclusion relationship, convolution result, coefficients estimate, and Fekete–Szegö problem for this class.http://dx.doi.org/10.1155/2020/6622230 |
| spellingShingle | Tamer M. Seoudy Amnah E. Shammaky On Certain Class of Bazilevič Functions Associated with the Lemniscate of Bernoulli Journal of Function Spaces |
| title | On Certain Class of Bazilevič Functions Associated with the Lemniscate of Bernoulli |
| title_full | On Certain Class of Bazilevič Functions Associated with the Lemniscate of Bernoulli |
| title_fullStr | On Certain Class of Bazilevič Functions Associated with the Lemniscate of Bernoulli |
| title_full_unstemmed | On Certain Class of Bazilevič Functions Associated with the Lemniscate of Bernoulli |
| title_short | On Certain Class of Bazilevič Functions Associated with the Lemniscate of Bernoulli |
| title_sort | on certain class of bazilevic functions associated with the lemniscate of bernoulli |
| url | http://dx.doi.org/10.1155/2020/6622230 |
| work_keys_str_mv | AT tamermseoudy oncertainclassofbazilevicfunctionsassociatedwiththelemniscateofbernoulli AT amnaheshammaky oncertainclassofbazilevicfunctionsassociatedwiththelemniscateofbernoulli |