New Asymptotic Formulas and Inequalities for the Gamma Function Based on Continued Fractions

Author:

Lu Dawei,Song Lixin,Wang Xiaoguang,Wang Junying

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference17 articles.

1. Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing, Applied Mathematics Series, vol. 55, Nation Bureau of Standards, Dover, New York (1972)

2. Andrews, G.E., Berndt, B.C.: Ramanujan’s Lost Notebook, Part IV. Springer, New York (2013)

3. Burnside, W.: A rapidly convergent series for $$\log N!$$ log N ! . Messenger Math. 46, 157–159 (1917)

4. Chen, C.-P.: A more accurate approximation for the gamma function. J. Number Theory. 164, 417–428 (2016)

5. Copson, E.T.: Asymptotic Expansions. Cambrigde University Press, Cambrigde (1965)

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