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Some Asymptotic Formulas and Inequalities About Gamma and Psi Functions Based on Continued Fractions

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Abstract

In this paper, based on continued fractions, some faster asymptotic formulas of gamma, psi and psi’s derivative functions are given. Then, we provide 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 & 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. Junying Wang
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Correspondence to Lixin Song.

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Lu, D., Song, L. & Wang, J. Some Asymptotic Formulas and Inequalities About Gamma and Psi Functions Based on Continued Fractions. Results Math 72, 225–238 (2017). https://doi.org/10.1007/s00025-016-0629-5

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  • DOI: https://doi.org/10.1007/s00025-016-0629-5

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