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New Asymptotic Formulas and Inequalities for the Gamma Function Based on Continued Fractions

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Abstract

In this paper, based on continued fractions, we provide two faster asymptotic formulas of the gamma function compared with former achievements. Then, we present some relevant inequalities. Finally, in order to demonstrate that our new asymptotic formulas have superiority, some numerical computations are also given.

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Authors and Affiliations

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

    Dawei Lu, Lixin Song, Xiaoguang Wang & Junying Wang

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

    Dawei Lu

Authors
  1. Dawei Lu
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  2. Lixin Song
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  3. Xiaoguang Wang
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  4. Junying Wang
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Correspondence to Lixin Song.

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Lu, D., Song, L., Wang, X. et al. New Asymptotic Formulas and Inequalities for the Gamma Function Based on Continued Fractions. Results Math 73, 37 (2018). https://doi.org/10.1007/s00025-018-0785-x

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  • DOI: https://doi.org/10.1007/s00025-018-0785-x

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