Complex Analysis: Theory and Applications · Problem 6.5.16

Taylor and Laurent Series — Howell & Matthews

Mathematics — Complex Analysis · cauchy-integral-formula

Problem

Let P(z)=a0+a1z+a2z2+a3z3P(z) = a_0 + a_1 z + a_2 z^2 + a_3 z^3. Evaluate ∫C1+(0)P(z)z−n dz\int_{C_1^+(0)} P(z)z^{-n}\,dz, where nn is a positive integer.

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