On Certain Classes of Convex Functions
For real numbers α and β such that 0≤α<1<β, we denote by 𝒦α,β the class of normalized analytic functions which satisfy the following two sided-inequality: α<ℜ1+zf′′z/f′z<β z∈𝕌, where 𝕌 denotes the open unit disk. We find some relationships involving functions in the class 𝒦(α,β). And we...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2013/294378 |