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A quicker approximation of the gamma function towards the Windschitl’s formula by continued fraction

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Abstract

In this paper, we establish a quicker approximation with continued fraction and some inequalities for the gamma function based on Windschitl’s formula. We also give some numerical computations to demonstrate the superiority of our new approximation over the classical ones.

Keywords

Stirling’s formula Windschitl’s formula Continued fraction Gamma function 

Mathematics Subject Classification

33B15 41A10 42A16 41A60 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsNortheastern UniversityShenyangChina
  2. 2.School of Mathematical SciencesDalian University of TechnologyDalianChina

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