On Subclass of 𝑘-Uniformly Convex Functions of Complex Order Involving Multiplier Transformations
We introduce a subclass of 𝑘-uniformly convex functions of order 𝛼 with negative coefficients by using the multiplier transformations in the open unit disk 𝑈={𝑧∈ℂ∶|𝑧|<1}. We obtain coefficient estimates, radii of convexity and close-to-convexity, extreme points, and integral means inequalities fo...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/150571 |
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| Summary: | We introduce a subclass of 𝑘-uniformly convex functions of order 𝛼 with negative coefficients by using the multiplier transformations in the open unit disk 𝑈={𝑧∈ℂ∶|𝑧|<1}. We obtain coefficient estimates, radii of convexity and close-to-convexity, extreme points, and integral means inequalities for the function 𝑓 that belongs to the class 𝒩ℓ𝑚(𝛼,𝛽,𝑘,𝜐). |
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| ISSN: | 1085-3375 1687-0409 |