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A quicker continued fraction approximation of the gamma function related to the Windschitl’s formula

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Abstract

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

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Authors and Affiliations

  1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116023, China

    Dawei Lu, Lixin Song & Congxu Ma

Authors
  1. Dawei Lu
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  2. Lixin Song
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  3. Congxu Ma
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Correspondence to Lixin Song.

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Lu, D., Song, L. & Ma, C. A quicker continued fraction approximation of the gamma function related to the Windschitl’s formula. Numer Algor 72, 865–874 (2016). https://doi.org/10.1007/s11075-015-0070-y

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  • DOI: https://doi.org/10.1007/s11075-015-0070-y

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