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2019•NIGERIAN ANNALS OF PURE AND APPLIED SCIENCESOpen access

Deriving Cauchy's Integral Formula Using Division Method

M. Egahi, Innocent Otache Ogwuche, Job Ijwo Ode

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Abstract

Cauchy's integral theorem and formula which holds for analytic functions is proved in most standard complex analysis texts. The nth derivative form is also proved. Here we derive the nth derivative form of Cauchy's integral formula using division method and showed its link with Taylor's theorem and demonstrate the result with some polynomials.

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Cauchy's integral theorem and formula which holds for analytic functions is proved in most standard complex analysis texts. The nth derivative form is also proved. Here we derive the nth derivative form of Cauchy's integral formula using division method and showed its link with Taylor's theorem and demonstrate the result with some polynomials.

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Available abstract

Cauchy's integral theorem and formula which holds for analytic functions is proved in most standard complex analysis texts. The nth derivative form is also proved. Here we derive the nth derivative form of Cauchy's integral formula using division method and showed its link with Taylor's theorem and demonstrate the result with some polynomials.

Key concepts: Cauchy's integral formula, Mathematics, Cauchy distribution, Residue theorem, Division (mathematics), Cauchy's integral theorem, Derivative (finance), Cauchy principal value

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