## Complex Analysis and Applications |

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### Contents

ANALYTIC FUNCTIONS | 1 |

COMPLEX INTEGRATION | 70 |

INFINITE SERIES | 115 |

Copyright | |

6 other sections not shown

### Common terms and phrases

analytic function angle apply Assume boundary bounded branch called Cauchy's theorem circle complex complex numbers complex potential conformal Consider constant containing continuous convergence cosh defined definition derivative differential direction disk entire equals equation Evaluate EXAMPLE Exercises exists Figure Find flow fluid follows formula Fourier function f(z given harmonic Hence identity implying infinite inside integral inverse Laplace transform Let f(z limit line integral mapping mean value theorem multiplication Note Observe obtain points poles positive principle problem proof properties Prove radius of convergence real axis region G residue respect result Riemann roots satisfy Section Show simply connected singularity sinh SOLUTION streamlines Suppose unit upper half plane vanishes variable vector w-plane yields zero