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Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions

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  • Chen, Chao-Ping
  • Elezović, Neven

Abstract

We present new asymptotic expansions of the logarithm of the gamma function in terms of the psi and polygamma functions. Based on these expansions, we prove new complete monotonicity properties of some functions involving the gamma, psi and polygamma functions.

Suggested Citation

  • Chen, Chao-Ping & Elezović, Neven, 2015. "Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 232-241.
    • Handle: RePEc:eee:apmaco:v:269:y:2015:i:c:p:232-241
    DOI: 10.1016/j.amc.2015.07.044
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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.

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