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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Wiley
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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| _version_ | 1832552596379795456 |
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| author | Mohammad Salmassi |
| author_facet | Mohammad Salmassi |
| author_sort | Mohammad Salmassi |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-d119c5f192d84a3391552132f9d231fa |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d119c5f192d84a3391552132f9d231fa2025-02-03T05:58:19ZengWileyInternational 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. |
| 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. |
| title | 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_short | Note on the zeros of functions with univalent derivatives |
| title_sort | note on the zeros of functions with univalent derivatives |
| topic | univalent functions close-to-convex functions entire functions. |
| url | http://dx.doi.org/10.1155/S0161171286000108 |
| work_keys_str_mv | AT mohammadsalmassi noteonthezerosoffunctionswithunivalentderivatives |