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How to use FourierCoefficient

• To: mathgroup at smc.vnet.net
• Subject: [mg129553] How to use FourierCoefficient
• From: Shalin Mehta <shalin.mehta at gmail.com>
• Date: Tue, 22 Jan 2013 23:18:07 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• Delivered-to: l-mathgroup@wolfram.com
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Hello,
I need to obtain Fourier Coefficients of a function, which I know come out
in terms of Bessel functions.

I tried following, but Mathematica simply returns me the input expression
after trying to solve the expression. What am I doing wrong? I am new to
mathematica.

FourierCoefficient[E^(-I Sin[2 \[Pi] t]), t, n]

FourierCoefficient[E^(-I Sin[2 \[Pi] t]), t, 1]

FourierCoefficient[E^(-I Sin[2 \[Pi] t]), t, 2]

Thanks
Shalin
website: http://mshalin.com
(office) Lillie 110, (ph) 508-289-7374.

HFSP Postdoctoral Fellow,
Marine Biological Laboratory,
7 MBL Street, Woods Hole MA 02543, USA