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As now presented in books on complex analysis or conformal mapping, a Moebius transformation is a function of a complex variable, whose value may be infinity, of the form \(\displaystyle {} f(z) = \frac {az + b}{cz + d}, \ \ \text{where} \ ad - bc \ne 0. \)

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Moebius Transformation

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  • 发表日期：

    2025年

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  • Christopher Baltus

摘要

As now presented in books on complex analysis or conformal mapping, a Moebius transformation is a function of a complex variable, whose value may be infinity, of the form \(\displaystyle {} f(z) = \frac {az + b}{cz + d}, \ \ \text{where} \ ad - bc \ne 0. \)