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Trigonometric Styled Power Series (supplemented to Fract. Diff.Integrals)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg23003] Trigonometric Styled Power Series (supplemented to Fract. Diff.Integrals)
  • From: "Kai G. Gauer" <gauer at sk.sympatico.ca>
  • Date: Mon, 10 Apr 2000 02:22:30 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

How do I ask for a function of x, f[x], to be expanded not as a power
series, but as a Trig Series in tems of integer only powers (because
I'll be applying a fourier transform, and then its inverse times a
constant directly afterwards) of sines and cosines? I'll also need to
apply Normal to this before I apply the Fourier Transform. Is there a
special option for series which will turn this on/off as needed? I'm
guessing that it could be done with subbing an auxiliary variable of an
arcfunction as is done for the Chebyshev polynomials, but I can't get
much farther than this.





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