Stokes, A. N. Efficient stable ways to calculate continued fraction coefficients from some series. (English) Zbl 0524.65002 Numer. Math. 42, 237-245 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document 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, \({}_2F_1\) Keywords:continued fraction; quotient-difference algorithm; instability; hypergeometric series PDFBibTeX XMLCite \textit{A. N. Stokes}, Numer. Math. 42, 237--245 (1983; Zbl 0524.65002) Full Text: DOI EuDML 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.