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

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Published: Dec 1, 1992
DOI: https://doi.org/10.5556/j.tkjm.23.1992.4555
Keywords:
Analytic locally univalent extreme points convex bounded boundary rotation linear space

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KUALIDA INAYAT NOOR
Mathematics Department, College of Science,P.O. Box 2455, King Saud University, Riyadh 11451, Saudi Arabia.

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
Issue
Vol. 23 No. 4 (1992)
Section
Papers
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References

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