Abstract
The modern theory of (infinite) continued fractions probably begins with Bombelli (1526–1672) [1] in which he computes the square roots of numbers by the following device.
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References
BOMBELLI, R., “L’Algebra Opera”, Bologna, 1579.
BREZINSKI, C., The long history of continued fractions and Padé approximants, “Padé Approximation and its Applications Amsterdam 1980”, Lecture Notes 888, Berlin, Heidelberg, New York, 1981.
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BREZINSKI, C., “History of Continued Fractions and Padé Approximants”, Berlin, New York, 1991.
PADE, H., Sur la représentation approchée d’une fonction pour des fractions rationnelles,Ann. Sci. École Norm. Sup. Suppl. [3] 9 (1892), 1–93. (Thesis)
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© 1993 Springer Science+Business Media Dordrecht
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Mitrinović, D.S., Pečarić, J.E., Fink, A.M. (1993). Continued Fractions and Padé Approximation Method. In: Classical and New Inequalities in Analysis. Mathematics and Its Applications (East European Series), vol 61. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1043-5_25
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DOI: https://doi.org/10.1007/978-94-017-1043-5_25
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