A Connection between Basic Univalence Criteria
We obtain a sufficient condition for the analyticity and the univalence of a class of functions defined by an integral operator. The well-known univalence criteria of Alexander, Noshiro-Warschawski, Nehari, Goluzin, Ozaki-Nunokawa, Becker, and Lewandowski would follow upon specializing the functions...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/404672 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564147544391680 |
|---|---|
| author | Horiana Tudor |
| author_facet | Horiana Tudor |
| author_sort | Horiana Tudor |
| collection | DOAJ |
| description | We obtain a sufficient condition for the analyticity and the univalence of a class of functions defined by an integral operator. The well-known univalence criteria of Alexander, Noshiro-Warschawski, Nehari, Goluzin, Ozaki-Nunokawa, Becker, and Lewandowski would follow upon specializing the functions and the parameters involved in the main result. The results obtained not only reduce to those earlier works, but they also extend the previous results. |
| format | Article |
| id | doaj-art-cfc5f1df71314be9928e1d785334dad9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cfc5f1df71314be9928e1d785334dad92025-02-03T01:11:39ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/404672404672A Connection between Basic Univalence CriteriaHoriana Tudor0Department of Mathematics, Faculty of Mathematics and Computer Science, “Transilvania” University of Braşov, 500091 Braşov, RomaniaWe obtain a sufficient condition for the analyticity and the univalence of a class of functions defined by an integral operator. The well-known univalence criteria of Alexander, Noshiro-Warschawski, Nehari, Goluzin, Ozaki-Nunokawa, Becker, and Lewandowski would follow upon specializing the functions and the parameters involved in the main result. The results obtained not only reduce to those earlier works, but they also extend the previous results.http://dx.doi.org/10.1155/2013/404672 |
| spellingShingle | Horiana Tudor A Connection between Basic Univalence Criteria Abstract and Applied Analysis |
| title | A Connection between Basic Univalence Criteria |
| title_full | A Connection between Basic Univalence Criteria |
| title_fullStr | A Connection between Basic Univalence Criteria |
| title_full_unstemmed | A Connection between Basic Univalence Criteria |
| title_short | A Connection between Basic Univalence Criteria |
| title_sort | connection between basic univalence criteria |
| url | http://dx.doi.org/10.1155/2013/404672 |
| work_keys_str_mv | AT horianatudor aconnectionbetweenbasicunivalencecriteria AT horianatudor connectionbetweenbasicunivalencecriteria |