If f is entire, and 1<=[tex]\left|f\right|[/tex] <=2 for all [tex]\left|z\right|[/tex] =1, and there is a z0 with [tex]\left|z0\right|[/tex] <1 and f(z0)=z0, then prove or disprove that there exist a z1 with [tex]\left|z1\right|[/tex]<1 such that f(z1)=0.(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Complex Variable Problem

Loading...

Similar Threads - Complex Variable Problem | Date |
---|---|

Fourier transform with complex variables | Jan 25, 2016 |

Key difference between two real and single complex variable? | Aug 10, 2015 |

Doubt in Partial derivative of complex variables | May 14, 2015 |

Directional Derivatives, Complex Variables and the exsistence of a complex derivative | Apr 28, 2012 |

Integration of functions of Complex Variables | Feb 22, 2012 |

**Physics Forums - The Fusion of Science and Community**