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- W2395282661 abstract "He then obtains Cauchy's integral representation and the power series expansion follows in the usual way. Heffter's fundamental theorem can be improved by supposing only that g(z) is integrable and satisfies a Lipschitz condition instead of assuming differentiability. The power series expansion can be obtained independently of differentiation theory and without the use of Cauchy's integral formula. These and some related results are obtained below. But a simple and direct proof that the product of two continuous integrable functions is integrable is still lacking. The question of obtaining the power series expansion or other properties of analytic functions from differentiability without using Cauchy's integral representation has attracted more attention. For this see G. T. Whyburn, Topological analysis and the articles by E. Connell and P. Porcelli given in the references." @default.
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- W2395282661 date "2016-01-01" @default.
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- W2395282661 title "WITHOUT DIFFERENTIATION THEORY" @default.
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