On an asymptotic series and corresponding continued fraction for a gamma function ratio

DOI10.1016/0377-0427(83)90035-3zbMath0515.41029OpenAlexW1991218601MaRDI QIDQ1051828

John H. McCabe

Publication date: 1983

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(83)90035-3

zbMATH Keywords

gamma functioncontinued fractionleast squares approximationasymptotic power series

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Power series (including lacunary series) in one complex variable (30B10) Approximation by other special function classes (41A30) Convergence and divergence of continued fractions (40A15)

Related Items (3)

A note on an error estimate for least squares approximation ⋮ A continued fraction approximation of the gamma function ⋮ A new asymptotic expansion of a ratio of two gamma functions and complete monotonicity for its remainder

Cites Work

• Asymptotic series and Stieltjes continued fractions for a gamma function ratio
• The special functions and their approximations. Vol. I, II
• The asymptotic expansion of a ratio of gamma functions

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