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MacLaurin Series

  1. Mar 7, 2008 #1
    Today, we're taught that MacLaurin series is just another name for Taylor series at x = 0. Then what is the speciality of it? Why doesn't x = 1 or x = 2 have a special name?
  2. jcsd
  3. Mar 7, 2008 #2
    Mostly historical reasons.
  4. Mar 7, 2008 #3
    the same reason why the log base e is called the natural/naperian logarithm and all the others are just log base b.
  5. Mar 7, 2008 #4
    It's just easier to write polynomial approximations centered at x=0. Centering them at something else would make (x-a), where a is some shift other than zero (zero would be maclaurin, and so it wouldn't be written).
  6. Mar 7, 2008 #5
    Not ture. The difference between a MacLaurin series and a taylor series is that a Maclaurin series can have terms of the form 1/z^n. It depends upon the order of the poles at the point you find the series expansion.
  7. Mar 8, 2008 #6
    I believe that you are thinking of a Laurant series.
  8. Mar 8, 2008 #7
    Oh, maybe so. It's been too long sense I have taken a course in complex variables.
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