A new general idea for starlike and convex functions
2016 ◽
Vol 47
(4)
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pp. 445-454
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Keyword(s):
Let $\mathcal{A}$ be the class of functions $f(z)$ which are analytic in the open unit disk $\mathbb{U}$ with $f(0)=0$ and $f'(0)=1$. For the class $\mathcal{A}$, a new general class $\mathcal{A}_{k}$ is defined. With this general class $\mathcal{A}_{k}$, two interesting classes $\mathcal{S}_{k}^{\ast}(\alpha)$ and $\mathcal{K}_{k}(\alpha)$ concerning classes of starlike of order $\alpha$ in $\mathbb{U}$ and convex of order $\alpha$ in $\mathbb{U}$ are considered.
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2013 ◽
Vol 2013
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pp. 1-6
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2003 ◽
Vol 2003
(41)
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pp. 2603-2608
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Keyword(s):
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