Note on the zeros of functions with univalent derivatives
Let E denote the class of functions f(z) analytic in the unit disc D, normalized so that f(0)=0=f′(0)−1, such that each f(k)(z), k≥0 is univalent in D. In this paper we establish conditions for some functions to belong to class E.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171286000108 |
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Article |
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doaj-d119c5f192d84a3391552132f9d231fa2020-11-24T20:59:45ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-0191818810.1155/S0161171286000108Note on the zeros of functions with univalent derivativesMohammad Salmassi0College of Basic Studies, University of Hartford, W. Hartford 06117, CT, USALet E denote the class of functions f(z) analytic in the unit disc D, normalized so that f(0)=0=f′(0)−1, such that each f(k)(z), k≥0 is univalent in D. In this paper we establish conditions for some functions to belong to class E.http://dx.doi.org/10.1155/S0161171286000108univalent functionsclose-to-convex functionsentire functions. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mohammad Salmassi |
| spellingShingle |
Mohammad Salmassi Note on the zeros of functions with univalent derivatives International Journal of Mathematics and Mathematical Sciences univalent functions close-to-convex functions entire functions. |
| author_facet |
Mohammad Salmassi |
| author_sort |
Mohammad Salmassi |
| title |
Note on the zeros of functions with univalent derivatives |
| title_short |
Note on the zeros of functions with univalent derivatives |
| title_full |
Note on the zeros of functions with univalent derivatives |
| title_fullStr |
Note on the zeros of functions with univalent derivatives |
| title_full_unstemmed |
Note on the zeros of functions with univalent derivatives |
| title_sort |
note on the zeros of functions with univalent derivatives |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1986-01-01 |
| description |
Let E denote the class of functions f(z) analytic in the unit disc D, normalized so that f(0)=0=f′(0)−1, such that each f(k)(z), k≥0 is univalent in D. In this paper we establish conditions for some functions to belong to class E. |
| topic |
univalent functions close-to-convex functions entire functions. |
| url |
http://dx.doi.org/10.1155/S0161171286000108 |
| work_keys_str_mv |
AT mohammadsalmassi noteonthezerosoffunctionswithunivalentderivatives |
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1716781637798199297 |