Complex Analysis

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• Análise funcional e transforma
• Análise complexa, variáveis ??complexas

Functions of a Complex Variable, Complex Differentiability, Analytic Functions, Cauchy Type Integral, Argument Principle, Residue Theorem, Schwarz Integral Formula, Normal Family, Conformal Mapping, The Riemann Mapping Theorem, Convergence of Regions, Carath$acute{e}$odory's convergence theorem, Big Picard's Theorem, Infinite Products, The Weierstrass Factorization Theorem, Order and Type of Entire Functions, Exponent of Convergence, Genus, Canonical product, the Hadamard Factorization Theorem, The Gamma Function, The Beta Function, The Riemann Zeta Function, Harmonic Functions, The Poisson kernel, Upper Semicontinuous Functions, Subharmonic Functions, Nevanlinna Representation, Stieltjes Inversion Formula, Holomorphic Fourier Transforms, Hp Spaces, Blaschke Product, Parseval's Equality, Uniform Approximation, Rational Function, Simply Connected Region, Mergelyan's Theorem