Robert de Montessus de Ballore's 1902 theorem on algebraic continued fractions : genesis and circulation

Abstract : Robert de Montessus de Ballore proved in 1902 his famous theorem on the convergence of Padé approximants of meromorphic functions. In this paper, we will first describe the genesis of the theorem, then investigate its circulation. A number of letters addressed to Robert de Montessus by different mathematicians will be quoted to help determining the scientific context and the steps that led to the result. In particular, excerpts of the correspondence with Henri Padé in the years 1901-1902 played a leading role. The large number of authors who mentioned the theorem soon after its derivation, for instance Nörlund and Perron among others, indicates a fast circulation due to factors that will be thoroughly explained.
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https://hal.archives-ouvertes.fr/hal-00846555
Contributor : Hervé Le Ferrand <>
Submitted on : Friday, July 19, 2013 - 12:36:19 PM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM

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  • HAL Id : hal-00846555, version 1
  • ARXIV : 1307.3669

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Hervé Le Ferrand, Hervé Le Ferrand. Robert de Montessus de Ballore's 1902 theorem on algebraic continued fractions : genesis and circulation. 2013. ⟨hal-00846555⟩

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