A New Roper-Suffridge Extension Operator on a Reinhardt Domain

Jianfei Wang and Cailing Gao

Abstract and Applied Analysis, 2011, vol. 2011, 1-14

Abstract:

We introduce a new Roper-Suffridge extension operator on the following Reinhardt domain given by where is a normalized locally biholomorphic function on the unit disc , are positive integer, are complex constants, and . Some conditions for are found under which the operator preserves almost starlike mappings of order and starlike mappings of order , respectively. In particular, our results reduce to many well-known results when all .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:865496

DOI: 10.1155/2011/865496

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