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HARMONIC UNIVALENT FUNCTIONS WITHFIXED POINT AND NEGATIVE OEFFICIENTS

机译:不定点和负系数的调和函数

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摘要

Let T_H~(*0)(zo)andTK_H~o(zo)donate the class of functionsfh+g,where h(z) = alz— Σa_nz~n, n00 g(z) = -Σ b_nz~n,a_1> 0, a_n > 0 andb_n >0, that map the unit discU = {z : |z| < 1} onto starlike andn=2 convex domains respectively satisfying f (zo)zo,< zo < 1 zo 0 0. In this paper, sharp coefficient estimates, distortion properties for function in Tnzo) and Tq(zo) have been obtained. This leads to extremepoints.
机译:令T_H〜(* 0)(zo)和TK_H〜o(zo)捐赠函数类别fh + g,其中h(z)= alz-Σa_nz〜n,n00 g(z)=-Σb_nz〜n,a_1> 0,a_n> 0和b_n> 0,它们映射了单位discU = {z:| z | <1}到分别满足f(zo)zo,

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