Some sufficient conditions for strongly starlikeness
We consider strongly starlikeness of order α of functions f(z)=z+an+1zn+1+⋯ which are analytic in the unit disc and satisfy the condition of the form |f′(z)(zf(z))1+μ−1|<λ, 0<μ<1, 0<λ<1.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200004154 |
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| _version_ | 1849410775923294208 |
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| author | Milutin Obradović Shigeyoshi Owa |
| author_facet | Milutin Obradović Shigeyoshi Owa |
| author_sort | Milutin Obradović |
| collection | DOAJ |
| description | We consider strongly starlikeness of order α of functions
f(z)=z+an+1zn+1+⋯ which are analytic in the unit
disc and satisfy the condition of the form
|f′(z)(zf(z))1+μ−1|<λ, 0<μ<1, 0<λ<1. |
| format | Article |
| id | doaj-art-5a908f581b2c41ca8ab40aa456420b2f |
| 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-5a908f581b2c41ca8ab40aa456420b2f2025-08-20T03:34:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124964364710.1155/S0161171200004154Some sufficient conditions for strongly starlikenessMilutin Obradović0Shigeyoshi Owa1Department of Mathematics, Faculty of Technology and Metallurgy, 4 Karnegijova Street, Belgrade 11000, SerbiaDepartment of Mathematics, Kinki University, Osaka, Higashi-Osaka 577-8502, JapanWe consider strongly starlikeness of order α of functions f(z)=z+an+1zn+1+⋯ which are analytic in the unit disc and satisfy the condition of the form |f′(z)(zf(z))1+μ−1|<λ, 0<μ<1, 0<λ<1.http://dx.doi.org/10.1155/S0161171200004154Analytic functionstrongly starlikenesssubordination. |
| spellingShingle | Milutin Obradović Shigeyoshi Owa Some sufficient conditions for strongly starlikeness International Journal of Mathematics and Mathematical Sciences Analytic function strongly starlikeness subordination. |
| title | Some sufficient conditions for strongly starlikeness |
| title_full | Some sufficient conditions for strongly starlikeness |
| title_fullStr | Some sufficient conditions for strongly starlikeness |
| title_full_unstemmed | Some sufficient conditions for strongly starlikeness |
| title_short | Some sufficient conditions for strongly starlikeness |
| title_sort | some sufficient conditions for strongly starlikeness |
| topic | Analytic function strongly starlikeness subordination. |
| url | http://dx.doi.org/10.1155/S0161171200004154 |
| work_keys_str_mv | AT milutinobradovic somesufficientconditionsforstronglystarlikeness AT shigeyoshiowa somesufficientconditionsforstronglystarlikeness |