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Efficient stable ways to calculate continued fraction coefficients from some series. (English) Zbl 0524.65002


MSC:

65B10 Numerical summation of series
65D15 Algorithms for approximation of functions
30B70 Continued fractions; complex-analytic aspects
40A15 Convergence and divergence of continued fractions
33C05 Classical hypergeometric functions, \({}_2F_1\)
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References:

[1] Gargantini, I., Henrici, P.: A continued fraction algorithm for the computation of higher transcendental functions in the complex plane. Math. Comput.21, 18-29 (1967) · Zbl 0146.14302 · doi:10.1090/S0025-5718-1967-0240950-1
[2] Henrici, P.: Applied and computational complex Analysis (Vol. 2) New York: Wiley 1977 · Zbl 0363.30001
[3] Stokes, A.N.: A stable quotient-difference algorithm. Math. Comput.34, 515-519 (1980) · Zbl 0427.65012 · doi:10.1090/S0025-5718-1980-0559199-4
[4] Wall, H.S.: Analytic theory of continued fractions. New York: Van Nostrand 1948 · Zbl 0035.03601
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