### Integration of Heterogeneous Complex Variable Function and Combination Formula

#### Abstract

In this paper, we discuss the integration of heterogeneous complex variable function f(zk)=1 (zk-a)n in curve Cj of heterogeneous complex plane Hkby using heterogeneous Cauchy integral theorem, Cauchy integral formula and residue theory. And then obtain two identical equation of combinatorial mathematics by using two different calculation methods.

#### Keywords

Heterogeneous Cauchy integral theorem, Heterogeneous Cauchy integral formula, Combination formula, Residue theory

DOI

10.12783/dtcse/msam2020/34254

10.12783/dtcse/msam2020/34254

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