APM346-2012 > Home Assignment 5

Problem 6

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Chiara Moraglia:
Hi,
For problem 6 I was wondering whether we decompose the functions into the full Fourier series or just the Fourier sine series. Also, when the problem says decompose with respect to sin((n+1/2)x), does that mean replace the usual sine term in the series with this different sine term?

Victor Ivrii:
http://www.math.toronto.edu/courses/apm346h1/20129/L16.html "sin-Fourier series with half-intege"

Ian Kivlichan:
Hopeful solution to 6.e) attached!

Djirar:
Solutions to Problem 6.

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