the Cauchy integral theorem, the residue theorem, and applications to definite integrals. We will also discuss conformal mappings and a number of applications of complex analysis.

That is, is the residue class modulo of the sum. Our theorem is that is approximately normal and that and are approximately independent, uniformly for probabilities in . The distribution of is ...

Analytic functions, Cauchy-Riemann equations. Power series representation. Line integrals, Cauchy’s theorem and Cauchy’s integral formulas. Residue theorem and its application, Rouche’s theorem. Open ...