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A New Continued Fraction Approximation of the Gamma Function based on the Burnside's Formula

JiMin Hwang, SinIl Kim, Ri Gwang, HyonChol Kim*

In this paper, based on the Burnside’s formula, we establish a new continued fraction approximation and inequalities of gamma function. Finally, for demonstrating the superiority of our new approximation over several formulas, we give some numerical computations.