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Gauss,s Continued Fraction

المؤلف:  Wall, H. S.

المصدر:  "The Continued Fraction of Gauss." Ch. 18 in Analytic Theory of Continued Fractions. New York: Chelsea, pp. 335-361, 1948.

الجزء والصفحة:  ...

11-6-2019

1563

Gauss's Continued Fraction

 

 

Gauss's continued fraction is given by the continued fraction

where  is a hypergeometric function. Many analytic expressions for continued fractions of functions can be derived from this formula.

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REFERENCES:

Borwein, J.; Bailey, D.; and Girgensohn, R. "Gauss's Continued Fraction." §1.8.3 in Experimentation in Mathematics: Computational Paths to Discovery. Wellesley, MA: A K Peters, pp. 31-34, 2004.

Wall, H. S. "The Continued Fraction of Gauss." Ch. 18 in Analytic Theory of Continued Fractions. New York: Chelsea, pp. 335-361, 1948.