Sufficient Criteria for Biholomorphic Convex Mappings on $D_{p}$ in $C^n$
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 2
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In this paper, two sufficient conditions for biholomorphic convex mappings on bounded convex balanced domain $D_{p}$ in $C^n$ are provided. From these, criteria for a biholomorphic convex mappings with particular form become direct. Moreover, some concrete biholomorphic convex mappings on $D_{p}$ are also provided.
Classification :
32H05, 30C45
Jing-Hui Li; Ming-Sheng Liu. Sufficient Criteria for Biholomorphic Convex Mappings on $D_{p}$ in $C^n$. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2014_37_2_a8/
@article{BMMS_2014_37_2_a8,
author = {Jing-Hui Li and Ming-Sheng Liu},
title = {Sufficient {Criteria} for {Biholomorphic} {Convex} {Mappings} on $D_{p}$ in $C^n$},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2014},
volume = {37},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_2_a8/}
}