Hello,(adsbygoogle = window.adsbygoogle || []).push({});

Is there any place I can find the equation for the Taylor expansion of a functional around a function ??

Particularly, I want something like:

[itex]

f[x(t)] = f[\hat{x}(t)] + (f[\hat{x}(t)] - f[x(t)] \frac{\delta f}{\delta x(t)}|_{x(t)=\hat{x}(t)} + \frac{(f[\hat{x}(t)] - f[x(t)])^2}{2!}\frac{\delta ^2f}{\delta ^2x(t)}|_{x(t)=\hat{x}(t)} \ldots

[/itex]

Particularly I want to expand the functional:

[itex]

f[\Psi] [/itex] around the function [itex]\Psi \Psi^*[/itex] where [itex]\Psi^*[/itex] is the compex conjugate

**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!

# Functional taylor series

Loading...

Similar Threads - Functional taylor series | Date |
---|---|

A Taylor/Maclaurin series for piecewise defined function | Feb 17, 2017 |

I Series Expansion to Function | Sep 19, 2016 |

I Is a function better approximated by a line in some regions? | Aug 2, 2016 |

Proof Taylor series of (1-x)^(-1/2) converges to function | Jun 7, 2015 |

Differentials, taylor series, and function notation | Feb 27, 2015 |

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