Starlikeness associated with the sine hyperbolic function
Acta Mathematica Scientia(2024)
摘要
Let qλ (z) = 1 + λsinh(ς), 0 < λ < 1/sinh(1) be a non-vanishing analytic function in the open unit disk. We introduce a subclass S^ * (q_λ) (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.
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关键词
starlike functions,sine hyperbolic functions,radii problems,coefficient bounds,Hankel determinants,30C45,30C50
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