GIVEN: ) = {z",-15z<0 0,0 < z <1 f(z) = a) Calculate the FOURIER SERIES of the given STEP FUNCTION if f(z) = 1 NNZ Nnz ao + En=1 an cos- +ΣΡ1 bη sin b) Graph the complete series in the f (z) vs z plane.
GIVEN: ) = {z",-15z<0 0,0 < z <1 f(z) = a) Calculate the FOURIER SERIES of the given STEP FUNCTION if f(z) = 1 NNZ Nnz ao + En=1 an cos- +ΣΡ1 bη sin b) Graph the complete series in the f (z) vs z plane.
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. GIVEN:
f(z) =
z²,–1<z< 0
0,0 <z<1
a) Calculate the FOURIER SERIES of the given STEP FUNCTION if ƒ (z) =
1
NNZ
NAZ
çao + En=1an cos + E, b, sin z
ɑo +
+ En=1 bn sin
b) Graph the complete series in the f (z) vs z plane.
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