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What is Cauchy formula?

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What is Cauchy formula?

    • Posted by Avitesh Yadav 6 years, 10 months ago

    CBSE > Class 12 > Physics
    • 1 answers

    Silent Punk 6 years, 10 months ago

    In mathematics, Cauchy's integral formula, named after Augustin-Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on the boundary of the disk, and it provides integral formulas for all derivatives of a holomorphic function. Cauchy's formula shows that, in complex analysis, "differentiation is equivalent to integration": complex differentiation, like integration, behaves well under uniform limits – a result denied in real analysis.

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