PARTIAL SUMS OF A CLASS OF UNIVALENT FUNCTIONS
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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 $n$.
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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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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.