The Ramanujan Journal

, Volume 35, Issue 1, pp 121–129 | Cite as

A new sharp approximation for the Gamma function related to Burnside’s formula



In this paper, based on Burnside’s formula, a similar continued fraction approximation of the factorial function and some inequalities for the gamma function are established. Finally, for demonstrating the superiority of our new series over the Burnside’s formula and the classical Stirling’s series, some numerical computations are given.


Stirling’s formula Burnside’s formula Continued fraction 

Mathematics Subject Classification

33B15 41A10 42A16 


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.School of Mathematical SciencesDalian University of TechnologyDalianChina

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