On an asymptotic series and corresponding continued fraction for a gamma function ratio |
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Authors: | J.H. McCabe |
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Affiliation: | Mathematical Institute, St Andrews, Fife, Scotland, UK |
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Abstract: | Recurrence relations for the coefficients in the asymptotic expansion of a gamma function ratio are derived and a property of these coefficients is proved. The Stieltjes fraction for the series is given and a characteristic of the partial numerators is explained. A connection between the continued fraction and the error of a particular least squares approximation problem is discussed. |
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Keywords: | Gamma function continued fraction least squares |
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