• NIGERIAN ANNALS OF PURE AND APPLIED SCIENCES

ISSN: 2705 - 3997
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Vol. 6 No. 1 (2023): The Reality of Women in Science

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Deriving Cauchy`s Integral Formula Using Division Method

Authors

  • Egahi, M.
    Department of Mathematics and Computer Science Benue state University, Makurdi


  • Ogwuche, I.O.
    Department of Mathematics and Computer Science Benue state University, Makurdi


  • Ode, J
    Department of Mathematics and Computer Science Benue state University, Makurdi



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.

Keywords: Cauchy`s Integral Formula, Cauchy`s Theorem, Analytic Function, Division, Polynomials