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A New Roper-Suffridge Extension Operator on a Reinhardt Domain

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  • Jianfei Wang
  • Cailing Gao

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 .

Suggested Citation

  • Jianfei Wang & Cailing Gao, 2011. "A New Roper-Suffridge Extension Operator on a Reinhardt Domain," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-14, November.
    • Handle: RePEc:hin:jnlaaa:865496
    DOI: 10.1155/2011/865496
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