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A Kind of New Continued Fraction Approximation of Gamma Function Based on Mortici’s Formula

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Abstract

In this paper, based on Mortici’s works, we establish two sharp general continued fraction approximations for the gamma function. Then related inequalities are given. Finally, for demonstrating the superiority of our new estimations and inequalities, we provide some numerical comparisons.

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Authors and Affiliations

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

    Dawei Lu, Tianyi Qu & Xiaoguang Wang

  2. Department of Statistics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong

    Dawei Lu

Authors
  1. Dawei Lu
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  2. Tianyi Qu
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  3. Xiaoguang Wang
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Correspondence to Dawei Lu.

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Lu, D., Qu, T. & Wang, X. A Kind of New Continued Fraction Approximation of Gamma Function Based on Mortici’s Formula. Results Math 72, 1417–1436 (2017). https://doi.org/10.1007/s00025-017-0690-8

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  • DOI: https://doi.org/10.1007/s00025-017-0690-8

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