# Taylor series

1. Feb 27, 2015

### MMS

Hi guys,

Is there an easy and quick way to expand a function that I know its Taylor series about 0 to a series about some other z_0?

2. Feb 27, 2015

### wabbit

Not really. That would imply a quick and easy way to express $f^{(k)}(z_0)$ in terms of the Taylor series at 0. You can do it of course, but it just gives you an expression for each of these as a (different) power series in $z_0$, and while the calculation is straightforward presumably this isn't what you have in mind.
Think about it: even if the power series if finite (polynomial), it is rather cumbersome.