2006 / June Volume 1 No.2
Geometric and approximate properties of convolution polynomials in the unit disk
| Published Date |
2006 / June
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|---|---|
| Title | Geometric and approximate properties of convolution polynomials in the unit disk |
| Author | |
| Keyword | |
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| Pagination | 307-336 |
| Abstract | The purpose of this paper is to prove several results in approximations through complex convolution polynomials with Jackson-type rate or with best approximation rate, having the quality of preservation of some properties in geometric function theory, like the preservation of: coecients' bounds, positive real part, bounded turn, close-to-convexity, starlikeness, convexity, spi-
rallikeness, $\alpha$-convexity. Also, some sucient conditions for star-likeness and univalence of analytic functions are preserved.
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| AMS Subject Classification |
30E10, 30C45, 30C50, 30C55, 42A10, 41A25
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| Received |
2004-06-12
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