Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation

By H. Hamada, Tatsuhiro Honda, G. Kohr. 2006

81 citations recorded by the source corpus.

Abstract Let B be the unit ball in C n with respect to an arbitrary norm and let f ( z , t ) be a g-Loewner chain such that e − t f ( z , t ) − z has a zero of order k + 1 at z = 0 . In this paper, we obtain growth and covering theorems for f ( ⋅ , 0 ) . Moreover, we consider coefficient bounds and examples of mappings in S g , k + 1 0 ( B ) .

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/2561e194a295924ac6bd42c347fb1349a071f185

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In Applied Mathematics

1. Tatsuhiro Honda
2. H. Hamada
3. G. Kohr
4. Ian D. Graham
5. Xiaoju Xu

In Geometry and Topology

1. Tatsuhiro Honda
2. H. Hamada
3. G. Kohr
4. Ian D. Graham

Citations in the corpus

• Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables (2008, methodology): “Hamada, Honda and Kohr [ 12 ] obtained a bound for the (k + 1)-th coefficient of mappings in the set S 0 g,k+1 (B), where B is the unit ball in C n with”