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Article ID: CBB000933527

The Research on Emile Borel's Work Relative to Function Singularities (2008)

Wang, Quanlai (Author)

Ziran Kexueshi Yanjiu (Studies in the History of Natural Sciences)
Volume: 27
Pages: 236--248

Publication Date: 2008
Edition Details: [Translated title.] In Chinese.
Language: Chinese

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Abstract It is important to study the function singularities by Taylor's development in the theory of analytic continuation. This paper analyzes E. Borel's work relative to the research on that Hadamard theorem of the multiplication of function singularities and Taylor's series generelly considers its convergent circle as the cut secant. They are not studied in the history of mathematics at present. The paper discusses the background, the development of his idea and the influence of his theory on other mathematicians at that time.

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