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Some Integral Operators for p-Valently Starlike and Related Functions |
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PP: 41-44 |
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Author(s) |
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Khalida Inayat Noor,
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Abstract |
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| In this paper, we introduce and study a new subclass of quasi starlike functions. Let A(p) denote the class of functions of
∞
theform f(z)=zp+ ∑ akzk, p∈N={1,2,3,...},whichareanalyticintheunitdiscE={z:|z|<1}. f∈A(p)issaidtobe
k=p+1
quasi-starlike, if there exists a p-valently starlike function such that
(zf′(z))′
Re g′ (z) > 0, z ∈ E. We discuss some new integral operators for p-valently starlike and quasi starlike functions defined for z ∈ E.
Several special cases are also discussed. |
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