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Some new asymptotic approximations of the gamma function based on Nemes’ formula, Ramanujan’s formula and Burnside’s formula

Author

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  • Lu, Dawei
  • Song, Lixin
  • Ma, Congxu

Abstract

In this paper, we construct some new approximations of the gamma function based on Nemes’ formula, Ramanujan’s formula and Burnside’s formula. Using these approximations, some inequalities are established. Finally, for demonstrating the superiority of our new approximation over Mortici’s formula and other classical ones, some numerical computations are also given.

Suggested Citation

  • Lu, Dawei & Song, Lixin & Ma, Congxu, 2015. "Some new asymptotic approximations of the gamma function based on Nemes’ formula, Ramanujan’s formula and Burnside’s formula," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 1-7.
    • Handle: RePEc:eee:apmaco:v:253:y:2015:i:c:p:1-7
    DOI: 10.1016/j.amc.2014.12.077
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    Cited by:

    1. Chen, Chao-Ping, 2016. "Monotonicity properties, inequalities and asymptotic expansions associated with the gamma function," Applied Mathematics and Computation, Elsevier, vol. 283(C), pages 385-396.
    2. Chen, Chao-Ping, 2016. "On the asymptotic expansions of the gamma function related to the Nemes, Gosper and Burnside formulas," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 417-431.

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