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A product approximation of the gamma function

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Abstract

The main object of this paper is to propose a product approximation for the gamma function. The estimates derived here are studied via the theory of completely monotonic functions. Sharp inequalities are stated.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Valahia University of Târgovişte, Bd. Unirii 18, 130082, Târgovişte, Romania

    Cristinel Mortici

  2. Academy of Romanian Scientists, Splaiul Independenţei 54, 050094, Bucharest, Romania

    Cristinel Mortici

  3. Department of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, Canada

    Hari M. Srivastava

Authors
  1. Cristinel Mortici
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  2. Hari M. Srivastava
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Correspondence to Cristinel Mortici.

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Mortici, C., Srivastava, H.M. A product approximation of the gamma function. Numer Algor 69, 595–610 (2015). https://doi.org/10.1007/s11075-014-9915-z

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  • DOI: https://doi.org/10.1007/s11075-014-9915-z

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