On subclass of \(k\)-uniformly convex functions of complex order involving multiplier transformations (Q448590)
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scientific article; zbMATH DE number 6078667
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On subclass of \(k\)-uniformly convex functions of complex order involving multiplier transformations |
scientific article; zbMATH DE number 6078667 |
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On subclass of \(k\)-uniformly convex functions of complex order involving multiplier transformations (English)
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7 September 2012
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Summary: We introduce a subclass of \(k\)-uniformly convex functions of order \(\alpha\) with negative coefficients by using the multiplier transformations in the open unit disk. We obtain coefficient estimates, radii of convexity and close-to-convexity, extreme points, and integral means inequalities for functions in the class \(N^\ell_m (\alpha, \beta, k, v)\).
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\(k\)-uniformly convex functions
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coefficient estimates
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radius of convexity
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radius of close-to-convexity
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