A remark on certain analytic class by using Ruscheweyh derivatives (Q2714291)
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scientific article; zbMATH DE number 1604183
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on certain analytic class by using Ruscheweyh derivatives |
scientific article; zbMATH DE number 1604183 |
Statements
13 June 2001
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analytic
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Hadamard product
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Ruscheweyh derivatives
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starlike
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convex
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A remark on certain analytic class by using Ruscheweyh derivatives (English)
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By using the Ruscheweyh derivative the authors define a class \(T(n,\alpha,\beta;a,b)\) which generalize some earlier classes, but the only result of the paper is a special case of the trivial observation that NEWLINE\[NEWLINE T(n,\alpha,\beta;a,b)\cap T(n,\alpha,\beta;c,d)\subset T(n,\alpha,\beta;at_1+ct_2, bt_1+dt_2)NEWLINE\]NEWLINE for each \(t_1,t_2\in\mathbb{R}\) with \(|t_1|+|t_2|<1\).
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