Radii of harmonic mapping with fixed second coefficients in the plane
DOI:
https://doi.org/10.24193/subbmath.2018.2.03Keywords:
Stable starlike functions, stable univalent function, stable convex function, radii problem.Abstract
In this paper we investigate the radii problem for harmonic functions with a fixed coefficient and determine the radii of univalence, stable starlikness, stable convexity, fully starlikness and fully convexity of order α for these type of functions. All results are sharp. Also these results generalize and improve some results in the literature.
Mathematics Subject Classification (2010): 30C45, 30C80.
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