On a class of univalent functions
We consider the class of univalent functions f(z)=z+a3z3+a4z4+⋯ analytic in the unit disc and satisfying |(z2f′(z)/f2(z))−1|<1, and show that such functions are starlike if they satisfy |(z2f′(z)/f2(z))−1|<(1/2).
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171200001824 |
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| _version_ | 1832564254923816960 |
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| author | Vikramaditya Singh |
| author_facet | Vikramaditya Singh |
| author_sort | Vikramaditya Singh |
| collection | DOAJ |
| description | We consider the class of univalent functions
f(z)=z+a3z3+a4z4+⋯ analytic in the unit disc and
satisfying |(z2f′(z)/f2(z))−1|<1, and show that such functions are starlike if they satisfy
|(z2f′(z)/f2(z))−1|<(1/2). |
| format | Article |
| id | doaj-art-368647578bf54720881c7ee38cf56367 |
| 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-368647578bf54720881c7ee38cf563672025-02-03T01:11:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01231285585710.1155/S0161171200001824On a class of univalent functionsVikramaditya Singh03A/95 Azad Nagar, Kanpur 208002, IndiaWe consider the class of univalent functions f(z)=z+a3z3+a4z4+⋯ analytic in the unit disc and satisfying |(z2f′(z)/f2(z))−1|<1, and show that such functions are starlike if they satisfy |(z2f′(z)/f2(z))−1|<(1/2).http://dx.doi.org/10.1155/S0161171200001824 |
| spellingShingle | Vikramaditya Singh On a class of univalent functions International Journal of Mathematics and Mathematical Sciences |
| title | On a class of univalent functions |
| title_full | On a class of univalent functions |
| title_fullStr | On a class of univalent functions |
| title_full_unstemmed | On a class of univalent functions |
| title_short | On a class of univalent functions |
| title_sort | on a class of univalent functions |
| url | http://dx.doi.org/10.1155/S0161171200001824 |
| work_keys_str_mv | AT vikramadityasingh onaclassofunivalentfunctions |