Construction of Biholomorphic Convex Mappings of Order<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:math>on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math>

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

doi:10.1155/2014/719652

Abstract and Applied Analysis

2014

DOI: 10.1155/2014/719652

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Construction of Biholomorphic Convex Mappings of OrderαonBpn

Ming-Sheng Liu

Fengying Yang

Kit Ian Kou

et al.

Abstract: Some sufficient conditions for biholomorphic convex mappings of orderαon the Reinhardt domainBpninCnare given; from that, criteria for biholomorphic convex mappings of orderαwith particular form become direct. As applications of these sufficient conditions, some concrete biholomorphic convex mappings of orderα onBpnare provided.

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Construction of Biholomorphic Convex Mappings of OrderαonBpn

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