Deriving Cauchy's Integral Formula Using Division Method

Authors

  • M Egahi Department of Mathematics and Computer Science Benue state University, Makurdi
  • I O Ogwuche Department of Mathematics and Computer Science Benue state University, Makurdi
  • J Ode Department of Mathematics and Computer Science Benue state University, Makurdi

DOI:

: https://doi.org/10.46912/napas.32

Keywords:

Cauchy's Integral Formula, Cauchy's Theorem, Analytic Function, Division, Polynomials

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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Published

2019-03-14

How to Cite

Egahi, M., Ogwuche, I. O., & Ode, J. (2019). Deriving Cauchy’s Integral Formula Using Division Method. NIGERIAN ANNALS OF PURE AND APPLIED SCIENCES, 1, 259–264. https://doi.org/10.46912/napas.32

Issue

Vol. 1 (2018): Maiden Edition of NAPAS

Section

Original Article