Mori, Masatake Analytic representations suitable for numerical computation of some special functions. (English) Zbl 0444.65002 Numer. Math. 35, 163-174 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 65B10 Numerical summation of series 33B15 Gamma, beta and polygamma functions 65D20 Computation of special functions and constants, construction of tables Keywords:asymptotic expansion; incomplete gamma functions; power series expansion; error analysis; numerical examples PDFBibTeX XMLCite \textit{M. Mori}, Numer. Math. 35, 163--174 (1980; Zbl 0444.65002) Full Text: DOI EuDML References: [1] Abramowitz M, Stegun A (eds.) (1964) Handbook of mathematical functions. NBS Appl Math Ser No 55 · Zbl 0171.38503 [2] Estes R, Lancaster E (1972) Some generalized power series inversion. SIAM J Numer Anal 9:241-247 · Zbl 0239.65021 · doi:10.1137/0709023 [3] Rosser J (1951) Transformations to speed the convergence of series. J Res Nat Bur Standards Sect B46:56-64 [4] Takahasi H (1975) Complex function theory and numerical analysis (in Japanese). Kokyuroku of RIMS, Kyoto Univ No 253: 24-37 [5] Takahasi H (1980) Analytic continuation by variable transformation with application to summation of alternating series (in press) [6] Takahasi H, Mori M (1973) Acceleration of convergence of Taylor series by variable transformation (in Japanese). Kokyuroku of RIMS, Kyoto Univ No 172:78-87 [7] Takahasi H, Mori M (1974) Double exponential formulas for numerical integration. Publ. RIMS. Kyoto Univ 9:721-741 · Zbl 0293.65011 · doi:10.2977/prims/1195192451 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.