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Some new quicker continued fraction approximations for the gamma function related to the Nemes’ formula

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Abstract

In this paper, based on Nemes’ formula, we construct a new quicker continued fraction approximation of the gamma function. Some inequalities are established. Finally, for demonstrating the superiority of our new series over the Nemes’ formula, the Gosper’s formula, the Windschitl’s formula, the Stielties’ formula and the Striling’s formula, some numerical computations are given.

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Authors and Affiliations

  1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116023, China

    Dawei Lu & Congxu Ma

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  1. Dawei Lu
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  2. Congxu Ma
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Correspondence to Dawei Lu.

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Lu, D., Ma, C. Some new quicker continued fraction approximations for the gamma function related to the Nemes’ formula. Numer Algor 70, 825–833 (2015). https://doi.org/10.1007/s11075-015-9975-8

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  • DOI: https://doi.org/10.1007/s11075-015-9975-8

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