Construction of Biholomorphic Convex Mappings of Order α on Bpn

Ming-Sheng Liu; Fengying Yang; Kit Ian Kou; Changqin Huang

doi:10.1155/2014/719652

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Home > Journals > Abstr. Appl. Anal. > Volume 2014 > Issue SI30 > Article

2014 Construction of Biholomorphic Convex Mappings of Order

\alpha

{B}_{p}^{n}

Ming-Sheng Liu, Fengying Yang, Kit Ian Kou, Changqin Huang

Abstr. Appl. Anal. 2014(SI30): 1-15 (2014). DOI: 10.1155/2014/719652

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Abstract

Some sufficient conditions for biholomorphic convex mappings of order $\alpha$ on the Reinhardt domain ${B}_{p}^{n}$ in ${C}^{n}$ are given; from that, criteria for biholomorphic convex mappings of order $\alpha$ with particular form become direct. As applications of these sufficient conditions, some concrete biholomorphic convex mappings of order $\alpha$ on ${B}_{p}^{n}$ are provided.

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Ming-Sheng Liu. Fengying Yang. Kit Ian Kou. Changqin Huang. "Construction of Biholomorphic Convex Mappings of Order $\alpha$ on ${B}_{p}^{n}$ ." Abstr. Appl. Anal. 2014 (SI30) 1 - 15, 2014. https://doi.org/10.1155/2014/719652