Radii of harmonic mapping with fixed second coefficients in the plane

Rasoul Aghalary, Ali Mohammadian


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 $\alpha$ for these type of functions. All results are sharp.
Also these results generalize and improve some results in the literature


Stable starlike functions, stable univalent function, stable convex function, radii problem

Full Text:



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DOI: http://dx.doi.org/10.24193/subbmath.2018.2.03


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