Is the series(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \sum_{n=0}^{\infty}\frac{z^n}{n!}[/tex]

uniformly convergent for all z in the complex plane? It is uniformly convergent for all z in any bounded set, but the complex plane is unbounded. My instinct is that it is NOT uniformly convergent for all z in C.

This is not homework.

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

Dismiss Notice

Join Physics Forums Today!

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

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

# Is the exponential series uniformly convergent?

Loading...

Similar Threads for exponential series uniformly | Date |
---|---|

A Closed form for series over Exponential Integral | Feb 16, 2017 |

A Convergence of an infinite series of exponentials | Nov 2, 2016 |

Exponential Power Series Expansion | Sep 16, 2011 |

F(x) of a taylor series that looks a lot like an exponential | Oct 5, 2010 |

Exponential series | Nov 24, 2005 |

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