On the Fekete-Szegö problem
Let f(z)=z+a2z2+a3z3+⋯ be an analytic function in the open unit disk. A sharp upper bound is obtained for |a3−μa22| by using the classes of strongly starlike functions of order β and type α when μ≥1.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171200005111 |
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| _version_ | 1832552636624142336 |
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| author | B. A. Frasin Maslina Darus |
| author_facet | B. A. Frasin Maslina Darus |
| author_sort | B. A. Frasin |
| collection | DOAJ |
| description | Let f(z)=z+a2z2+a3z3+⋯ be an analytic function in the
open unit disk. A sharp upper bound is obtained for |a3−μa22| by using the classes of strongly starlike functions of order β and type α when μ≥1. |
| format | Article |
| id | doaj-art-4b6b253be5c447d7a15bfce0451535c6 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4b6b253be5c447d7a15bfce0451535c62025-02-03T05:58:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124957758110.1155/S0161171200005111On the Fekete-Szegö problemB. A. Frasin0Maslina Darus1School of Mathematical Sciences, Faculty of Sciences and Technology, University Kebangsaan Malaysia, Bangi, Selangor 43600, MalaysiaSchool of Mathematical Sciences, Faculty of Sciences and Technology, University Kebangsaan Malaysia, Bangi, Selangor 43600, MalaysiaLet f(z)=z+a2z2+a3z3+⋯ be an analytic function in the open unit disk. A sharp upper bound is obtained for |a3−μa22| by using the classes of strongly starlike functions of order β and type α when μ≥1.http://dx.doi.org/10.1155/S0161171200005111 |
| spellingShingle | B. A. Frasin Maslina Darus On the Fekete-Szegö problem International Journal of Mathematics and Mathematical Sciences |
| title | On the Fekete-Szegö problem |
| title_full | On the Fekete-Szegö problem |
| title_fullStr | On the Fekete-Szegö problem |
| title_full_unstemmed | On the Fekete-Szegö problem |
| title_short | On the Fekete-Szegö problem |
| title_sort | on the fekete szego problem |
| url | http://dx.doi.org/10.1155/S0161171200005111 |
| work_keys_str_mv | AT bafrasin onthefeketeszegoproblem AT maslinadarus onthefeketeszegoproblem |