PARTIAL SUMS OF A CLASS OF UNIVALENT FUNCTIONS

Authors

  • HERB SILVERMAN Department of Mathematics, Universit of Charleston, Charleston, SC 29424, U.S.A.

DOI:

https://doi.org/10.5556/j.tkjm.29.1998.4262

Keywords:

univalent functions

Abstract

We investigate the sequence of partial sums $f_n$ of univalent functions $f$ for which Re$f' > 0$ in the unit disk. Radii of univalence for $f_n$ are tracked as a function of $n$.

References

D. J. Hallenbeck, "Convex hulls and extreme points of univalent functions," Trans. Amer. Math. Soc., 192(1974), 285-292.

T. H. Mac Gregor, "Functions whose derivative has positive real part," Trans. Amer. Math. Soc., 104(1962), 532-537.

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Published

1998-09-01

How to Cite

SILVERMAN, H. (1998). PARTIAL SUMS OF A CLASS OF UNIVALENT FUNCTIONS. Tamkang Journal of Mathematics, 29(3), 171-174. https://doi.org/10.5556/j.tkjm.29.1998.4262

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Section

Papers