Radius of starlikeness and hardy space of Mittag-Leffler functions
| Autor: | Sudhananda Maharana, J. K. Prajapat, Deepak Bansal |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Normalization (statistics)
Pure mathematics Class (set theory) Mathematics::Complex Variables General Mathematics Mathematics::Classical Analysis and ODEs Radius Hardy space Convexity symbols.namesake Mathematics::Probability Bounded function symbols Order (group theory) Mathematics Analytic function |
| Zdroj: | Filomat. 32:6475-6486 |
| ISSN: | 2406-0933 0354-5180 |
| Popis: | In the present work, Mittag-Leffler functions with its normalization are considered. Several results are obtained so that these functions have certain geometric properties including starlikeness, convexity, close-to-convexity of order ?, and radius of starlikeness of order ?. Furthermore, we obtain certain condition so that the normalized Mittag-Leffler functions belongs to the Hardy space and to the class of bounded analytic functions. Results obtained are new and their usefulness are depicted by deducing several interesting corollaries and examples. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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