Bounded doubly close-to-convex functions (Q1725019)
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scientific article; zbMATH DE number 7023107
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounded doubly close-to-convex functions |
scientific article; zbMATH DE number 7023107 |
Statements
Bounded doubly close-to-convex functions (English)
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14 February 2019
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Summary: We consider a new class \(\mathcal{C} \mathcal{C}(\alpha, \beta)\) of bounded doubly close-to-convex functions. Coefficient bounds, distortion theorems, and radius of convexity for the class \(\mathcal{C} \mathcal{C}(\alpha, \beta)\) are investigated. A corresponding class of doubly close-to-starlike functions \(\mathcal{S}^* \mathcal{S}(\alpha, \beta)\) is also considered.
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