The second coefficient of a function with all derivatives univalent
We consider the second coefficient of a class of functions, univalent and normalized, and with all derivatives univalent in the unit disk D, and improve on a known result. It is also shown that this bound is in a sense best possible.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1982-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171282000258 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551292551036928 |
|---|---|
| author | A. Sathaye S. M. Shah |
| author_facet | A. Sathaye S. M. Shah |
| author_sort | A. Sathaye |
| collection | DOAJ |
| description | We consider the second coefficient of a class of functions, univalent and normalized, and with all derivatives univalent in the unit disk D, and improve on a known result. It is also shown that this bound is in a sense best possible. |
| format | Article |
| id | doaj-art-ea2a28cd72be4df68108ddbf0666fb1f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1982-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ea2a28cd72be4df68108ddbf0666fb1f2025-02-03T06:01:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015228128810.1155/S0161171282000258The second coefficient of a function with all derivatives univalentA. Sathaye0S. M. Shah1Department of Mathematics, University of Kentucky, Lexington 40506, Kentucky, USADepartment of Mathematics, University of Kentucky, Lexington 40506, Kentucky, USAWe consider the second coefficient of a class of functions, univalent and normalized, and with all derivatives univalent in the unit disk D, and improve on a known result. It is also shown that this bound is in a sense best possible.http://dx.doi.org/10.1155/S0161171282000258univalent functionstypically real functionsentire functions of exponential type. |
| spellingShingle | A. Sathaye S. M. Shah The second coefficient of a function with all derivatives univalent International Journal of Mathematics and Mathematical Sciences univalent functions typically real functions entire functions of exponential type. |
| title | The second coefficient of a function with all derivatives univalent |
| title_full | The second coefficient of a function with all derivatives univalent |
| title_fullStr | The second coefficient of a function with all derivatives univalent |
| title_full_unstemmed | The second coefficient of a function with all derivatives univalent |
| title_short | The second coefficient of a function with all derivatives univalent |
| title_sort | second coefficient of a function with all derivatives univalent |
| topic | univalent functions typically real functions entire functions of exponential type. |
| url | http://dx.doi.org/10.1155/S0161171282000258 |
| work_keys_str_mv | AT asathaye thesecondcoefficientofafunctionwithallderivativesunivalent AT smshah thesecondcoefficientofafunctionwithallderivativesunivalent AT asathaye secondcoefficientofafunctionwithallderivativesunivalent AT smshah secondcoefficientofafunctionwithallderivativesunivalent |