Abstract
Let B be the unit ball in a complex Banach space. Let S *k+1 (B) be the family of normalized starlike mappings f on B such that z = 0 is a zero of order k+1 of f(z)-z. The authors obtain sharp growth and covering theorems, as well as sharp coefficient bounds for various subsets of S *k+1 (B).
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Project supported by Grant-in-Aid for Scientific Research (C) from Japan Society for the Promotion of Science (Nos. 19540205, 2007; 17540138, 2007).
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Hamada, H., Honda, T. Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables. Chin. Ann. Math. Ser. B 29, 353–368 (2008). https://doi.org/10.1007/s11401-007-0339-0
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DOI: https://doi.org/10.1007/s11401-007-0339-0