首页|STARLIKENESS ASSOCIATED WITH THE SINE HYPERBOLIC FUNCTION
STARLIKENESS ASSOCIATED WITH THE SINE HYPERBOLIC FUNCTION
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维普
Let qλ(z)=1+λsinh(ζ),0＜λ＜1/sinh(1)be a non-vanishing analytic function in the open unit disk.We introduce a subclass S*(qλ)of starlike functions which contains the functions f such that zf'/f is subordinated by qλ.We establish inclusion and radii results for the class S*(qλ)for several known classes of starlike functions.Furthermore,we obtain sharp coefficient bounds and sharp Hankel determinants of order two for the class S*(qλ).We also find a sharp bound for the third Hankel determinant for the case λ=1/2.
万方数据
维普
