STARLIKENESS ASSOCIATED WITH THE SINE HYPERBOLIC FUNCTION  

作　　者：Mohsan RAZA Hadiqa ZAHID Jinlin LIU 刘金林(Department of Information Science,Yangzhou University,Yangzhou 225002,China)

机构地区：[1]Department of Mathematics,Government College University Faisalabad,Faisalabad 38000,Pakistan [2]Department of Information Science,Yangzhou University,Yangzhou 225002,China

出　　处：《Acta Mathematica Scientia》2024年第4期1244-1270,共27页数学物理学报（B辑英文版）

基　　金：supported by the Grant No.20-16367/NRPU/RD/HEC/20212021。

摘　　要：Let q_(λ)(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^(*)(q_(λ))of starlike functions which contains the functions f such that zf'/f is subordinated by q_(λ).We establish inclusion and radii results for the class S^(*)(q_(λ))for several known classes of starlike functions.Furthermore,we obtain sharp coefficient bounds and sharp Hankel determinants of order two for the class S^(*)(q_(λ)).We also find a sharp bound for the third Hankel determinant for the caseλ=1/2.

关 键 词：starlike functions sine hyperbolic functions radii problems coefficient bounds Hankel determinants 

分 类 号：O174[理学—数学]