Genèse et diffusion d'un théorème de Robert de Montessus de Ballore sur les fractions continues alg\'ebriques.

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Genèse et diffusion d'un théorème de Robert de Montessus de Ballore sur les fractions continues alg\'ebriques.

subject

Diffusion d'un théorème [MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO][MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO]Robert de Montessus Approximants de Padé [ MATH.MATH-HO ] Mathematics [math]/History and Overview [math.HO]Fractions continues

description

En 1902, Robert de Montessus de Ballore démontre la convergence d'une fraction continue algébrique associée à une fonction analytique à l'origine et méromorphe dans un domaine contenant l'origine. Aujourd'hui ce théorème est encore cité. Et le nom Montessus de Ballore sert à nommer des généralisations du résultat. Nous déterminerons le contexte et les différentes étapes qui ont conduit Robert de Montessus à l'élaboration de son résultat. Cette étude s'appuie notamment sur la correspondance scientifique de Robert de Montessus.

year	journal	country	edition	language
2014-08-06

https://hal.archives-ouvertes.fr/hal-00521135

PEPhysical Sciences and Engineering
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SHSocial Sciences and Humanities
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