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Using harmonic analysis to prove Cauchy integral formula. (Chinese. English summary) Zbl 1424.30131

Summary: Cauchy integral formula is one of the important formulas in complex function. The proof of this formula is provided by the method of Cauchy integral theorem and the continuity of the function in the textbook. In this paper, we give a new method to prove Cauchy integral formula. It is mainly to use harmonic analysis and Green’s formula in mathematical analysis to prove it.

MSC:

30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
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