ON EXTREME POINTS OF A CERTAIN LINEAR SPACE OF LOCALLY UNIVALENT FUNCTIONS

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KUALIDA INAYAT NOOR

Abstract




Let $H = (H, \oplus, \odot)$ denote the real linear space of locally univalent normalized functions in the unit disc as defined by Hornich. For $-1\le B <A\le 1$, $k>2$, the classes $V_k[A,B]$ of functions with bounded boundary rotation are introduced and this linear space structure is used to determine the extreme points of the classes $V_k[A,B]$.




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How to Cite
NOOR, K. I. (1992). ON EXTREME POINTS OF A CERTAIN LINEAR SPACE OF LOCALLY UNIVALENT FUNCTIONS. Tamkang Journal of Mathematics, 23(4), 321–325. https://doi.org/10.5556/j.tkjm.23.1992.4555
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Papers

References

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W. Koepf, "Classical families of univalent functions in the Hornich Space", Mh. Math. 100(1985), 113-120.