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