COEFFICIENT INEQUALITY FOR MULTIVALENT BOUNDED TURNING FUNCTIONS OF ORDER α
The objective of this paper is to obtain the sharp upper bound to the H_2(p + 1), second Hankel determinant for p-valent (multivalent) analytic bounded turning functions (also called functions whose derivatives have positive real parts) of order α (0 ≤ α < 1), using Toeplitz determinants. The res...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Petrozavodsk State University
2016-01-01
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| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=3010&lang=ru |
| Summary: | The objective of this paper is to obtain the sharp upper bound to the H_2(p + 1), second Hankel determinant for p-valent (multivalent) analytic bounded turning functions (also called functions whose derivatives have positive real parts) of order α (0 ≤ α < 1), using Toeplitz determinants. The result presented here includes three known results as their special cases. |
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| ISSN: | 2306-3424 2306-3432 |