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A class of rational mappings in several complex variables

Hamada H., Kohr G.

Demonstratio Mathematica

2005

Vol. 38, nr 2

323--330

In this paper, we will give coefficient conditions for mappings of the form f(z) = z/(1+sum for k=1 bkzk1 to infinity) to be starlike or convex on the Euclidean unit ball B in Cn. Our results give concrete examples of strongly starlike mappings of order a, starlike mappings of order a and convex mappings on B.

On some sufficient conditions for univalence in complex Banach spaces

Hamada H., Kohr G., Liczberski P.

Demonstratio Mathematica

2000

Vol. 33, nr 2

289-294

In this paper, we will consider some sufficient conditions for locally biholomorphic mappings defined in the unit ball in complex Banach spaces to be biholomorphic and to have (phi)-like images. As a corollary, we obtain some sufficient condition for locally biholomorphic mappings to be starlike mappings.