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Use Res(f(z). Zo) = lim (z-zo)f(z). Res (f(z). Zo) = f(z) = z = = (n = 1)! dz-1 to find the residue at each pole of the given function. (Order the poles from smallest to largest first by real part, then by imaginary part.) 1 (z²-6z+10)² Pole Residue lim (z-zo) fiz), or Res(f(z). Zo) h(zo) g(zo)

Use Res(f(z). Zo) = lim (z-zo)f(z). Res (f(z). Zo) = f(z) = z = = (n = 1)! dz-1 to find the residue at each pole of the given function. (Order the poles from smallest to largest first by real part, then by imaginary part.) 1 (z²-6z+10)² Pole Residue lim (z-zo) fiz), or Res(f(z). Zo) h(zo) g(zo)

Advanced Engineering Mathematics
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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Use Res(f(z), Zo) = lim (z-zo)f(z). Res (f(z), Zo) = z-20 f(z) = to find the residue at each pole of the given function. (Order the poles from smallest to largest first by real part, then by imaginary part.) Z= z = 1 (z²-6z+10)² Pole 1 lim (n-1)! 220 dz-12-20) f(z), or Res(f(z), zo) = Residue g(zo) h'(zo)
Transcribed Image Text:Use Res(f(z), Zo) = lim (z-zo)f(z). Res (f(z), Zo) = z-20 f(z) = to find the residue at each pole of the given function. (Order the poles from smallest to largest first by real part, then by imaginary part.) Z= z = 1 (z²-6z+10)² Pole 1 lim (n-1)! 220 dz-12-20) f(z), or Res(f(z), zo) = Residue g(zo) h'(zo)
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