Continued fraction approximation for the Gamma function based on the Tri-gamma function |
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| Authors: | Xu You Min Han |
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| Institution: | 1. Department of Mathematics and Physics, Beijing Institute of Petrochemical Technology, Beijing 102617, PR China;2. College of Applied Science, Beijing University of Technology, Beijing 100124, PR China |
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| Abstract: | In this paper, we present a continued fraction product approximation for the Gamma function, via the Tri-gamma function. This approximation is fast in comparison with the recently discovered asymptotic series. We also establish the inequalities related to this approximation. Finally, some numerical computations are provided for demonstrating the superiority of our approximation. |
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| Keywords: | Continued fraction Approximation Gamma function Inequalities Multiple-correction method |
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