Proof of power series and Laurent expansions of complex differentiable functions without use of Cauchy's integral formula of Cauchy's integral theorem (Q1122681)
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scientific article; zbMATH DE number 4107150
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proof of power series and Laurent expansions of complex differentiable functions without use of Cauchy's integral formula of Cauchy's integral theorem |
scientific article; zbMATH DE number 4107150 |
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Proof of power series and Laurent expansions of complex differentiable functions without use of Cauchy's integral formula of Cauchy's integral theorem (English)
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1989
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Via the use of generalized Riemann integration, the author shows how to prove the Taylor and Laurent series development of a holomorphic function without using the Cauchy integral formula. As to the philosophical point raised by the author about complex vs. real analysis, the reader should also consider the paper of \textit{L. Zalcman} in Am. Math. Monthly 81, 115- 137 (1974; Zbl 0279.30001).
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0.7450277805328369
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0.7294626832008362
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