. (a) Find the Fourier series for the 27-periodic function given by ƒ(x) = x³ — π²x, (b) The Riemann zeta function is defined as G(s) = n=1 -π < x < π. ns Use (a) and Parseval's theorem to evaluate (6).
. (a) Find the Fourier series for the 27-periodic function given by ƒ(x) = x³ — π²x, (b) The Riemann zeta function is defined as G(s) = n=1 -π < x < π. ns Use (a) and Parseval's theorem to evaluate (6).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. (a) Find the Fourier series for the 27-periodic function given by
f(x) = x³ = π²x,
(b) The Riemann zeta function is defined as
G(s)
=
n=1
-π < X < π.
ns
Use (a) and Parseval's theorem to evaluate (6).
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