Complex analysis complements

Normal family, Montel’s theorem, – Meromorphic functions, – Uniformization theorem, – Infinite product, – Weierstrass factorization theorem and fractional field of holomorphic functions – Gamma, Zeta functions, – Runge’s theorem, – Mittag-Leffler’s theorem, – Analytical extension, monodromy, and Riemann surface, – Harmonic functions (maximum principle, Poisson kernel, Harnack inequality, subharmonic function, Dirichlet theorem, Green’s function, – Integer functions (Poisson-Jensen formula, Hadamard factorization theorem, – Picard theorem.

Ref : Conway, Functions of 0ne Complex variable I, Graduate Text in Mathematics, Springer 1978.