Displaying similar documents to “Some properties and regions of variability of affine harmonic mappings and affine biharmonic mappings.”

Fully starlike and fully convex harmonic mappings of order α

Sumit Nagpal, V. Ravichandran (2013)

Annales Polonici Mathematici

Similarity:

The hereditary properties of convexity and starlikeness for conformal mappings do not generalize to univalent harmonic mappings. This failure leads to the notions of fully starlike and fully convex mappings. In this paper, properties of fully starlike mappings of order α and fully convex mappings of order α (0 ≤ α < 1) are studied; in particular, the bounds for the radius of full starlikeness of order α as well as the radius of full convexity of order α are determined for certain...