Introduction to Complex Variables and Applications |
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according analytic function angle Appendix apply approaches axis becomes boundary bounded branch C₁ called circle closed curve coefficients complex number conjugate Consequently consider constant continuous convergence corresponding cosh curve defined definition denote derivative described determined direction equation established example EXERCISES exists expansion Find flow fluid follows formula function f(z given half plane harmonic function Hence imaginary infinite infinity inside integral interior limit maps neighborhood obtained origin partial path point z pole positive potential problem properties Prove region represents residue result satisfied segment sense sheet shown simple single-valued singular point sinh strip surface temperatures tends theorem theory throughout transformation unit upper half vanishes vector w plane write written zero ди