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On the asymptotic expansions of the gamma function related to the Nemes, Gosper and Burnside formulas

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  • Chen, Chao-Ping

Abstract

In this paper, we present new asymptotic expansions of the gamma function related to the Nemes, Gosper and Burnside formulas.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:276:y:2016:i:c:p:417-431
    DOI: 10.1016/j.amc.2015.12.004
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    References listed on IDEAS

    as
    1. 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.
    2. Chen, Chao-Ping, 2015. "Inequalities and asymptotic expansions associated with the Ramanujan and Nemes formulas for the gamma function," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 337-350.
    3. Chen, Chao-Ping & Paris, Richard B., 2015. "Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 514-529.
    Full references (including those not matched with items on IDEAS)

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