Radius of Star-Likeness for Certain Subclasses of Analytic Functions
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In this paper, we investigate a normalized analytic (symmetric under rotation) function, f, in an open unit disk that satisfies the condition ℜfzgz>0, for some analytic function, g, with ℜz+1−2nzgz>0,∀n∈N. We calculate the radius constants for different classes of analytic functions, including, for example, for the class of star-like functions connected with the exponential functions, i.e., the lemniscate of Bernoulli, the sine function, cardioid functions, the sine hyperbolic inverse function, the Nephroid function, cosine function and parabolic star-like functions. The results obtained are sharp.
2007 ◽
Vol 2007
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pp. 1-7
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2017 ◽
Vol 10
(04)
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pp. 1750064
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2009 ◽
Vol 2009
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pp. 1-13
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