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The Concept of Analytic Functions Complex numbers, complex planes, complex functions Analytic functions Entire functions Harmonic functions Elementary functions: complex exponential, logarithmic and hyperbolic functions Infinite Series Power series, derived series, radius of convergence Taylor series and Laurent series Conformal Representation Transformation, conformal transformation Linear transformation Möbius transformations Complex Integration Complex integrals Cauchy-Goursat theorem Cauchy’s integral formula and their consequences Liouville’s theorem Morera’s theorem Derivative of an analytic function |
Credit hours/ Marks:- 3 |
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