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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.

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Authors and Affiliations

  1. Department of Mathematics, Northeastern University, Shenyang, 110819, China

    Hongzeng Wang & Qingling Zhang

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

    Dawei Lu

Authors
  1. Hongzeng Wang
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  2. Qingling Zhang
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  3. Dawei Lu
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Corresponding author

Correspondence to Qingling Zhang.

Additional information

The research of the second author is supported by the National Natural Science Foundation of China (Grant No. 63673099). The third author is supported by the National Natural Science Foundation of China (Grant No. 11571058).

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Wang, H., Zhang, Q. & Lu, D. A quicker approximation of the gamma function towards the Windschitl’s formula by continued fraction. Ramanujan J 48, 75–90 (2019). https://doi.org/10.1007/s11139-017-9974-6

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  • DOI: https://doi.org/10.1007/s11139-017-9974-6

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