Las fracciones continuas y las series de Leibniz y de Euler para el cálculo de pi

• Autores: Javier Peralta Coronado
• Localización: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum, ISSN 1130-4723, Vol. 11, Nº. 1-2, 1999, págs. 277-292
• Idioma: español
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• Resumen

  • In this paper we start out from sorne expansions of 7C by meaos of continued fractions, and we deduct that two of them are equivalent to two famous expresions of 7C as an infinite sum:

    the Leibniz series and an Euler series. We also study the inverse problem, and from the expresion of 7C as the sum of a certain series we obtain its respective expansion by meaos of continued fraction.