Advanced Complex Analysis

Code: MA748 | L-T-P-C: 4-0-0-8

MA748 Advanced Complex Analysis [4-0-0-8] Prerequisites: MA547 Complex Analysis

Complex Differential Equations, Special functions, Normal families and applications, Reimann Mapping theorem, Fundementals of Univalent functions and Entire functions, Phragmen-Lindelof theorems, Gamma, Riemann-zeta functions, Harmonic functions, Dirichlet problem for disc, Analytic continuation, Runge's theorem.

Texts:

1. La, Laine, Nevanlinna theory and complex Differential Equations, Water de Gruyter, 1993.
2. R. Askey, Special Functions, Springer Verlag, 2000.
3. J.L. Schiff, Normal Families, Springer Verlag, 1993.
4. P.L. Duren, Univalent Functions, Springer Verlag, 1983.
5. R.E. Greene and S.G. Krantz, Function Theory of one Complex Variable, John Wiley and Sons, 1997.