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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| Format: | Article |
| Language: | English |
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Hindawi Limited
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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Article |
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doaj-5a908f581b2c41ca8ab40aa456420b2f2020-11-24T23:16:08ZengHindawi LimitedInternational 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. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Milutin Obradović Shigeyoshi Owa |
| spellingShingle |
Milutin Obradović Shigeyoshi Owa Some sufficient conditions for strongly starlikeness International Journal of Mathematics and Mathematical Sciences Analytic function strongly starlikeness subordination. |
| author_facet |
Milutin Obradović Shigeyoshi Owa |
| author_sort |
Milutin Obradović |
| title |
Some sufficient conditions for strongly starlikeness |
| title_short |
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_sort |
some sufficient conditions for strongly starlikeness |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2000-01-01 |
| 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. |
| topic |
Analytic function strongly starlikeness subordination. |
| url |
http://dx.doi.org/10.1155/S0161171200004154 |
| work_keys_str_mv |
AT milutinobradovic somesufficientconditionsforstronglystarlikeness AT shigeyoshiowa somesufficientconditionsforstronglystarlikeness |
| _version_ |
1725588429071187968 |