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Taylor series

  1. Feb 27, 2015 #1


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    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. jcsd
  3. Feb 27, 2015 #2


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    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.
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