Best estimates of the generalized Stirling formula |
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| Authors: | Cristinel Mortici |
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| Institution: | Valahia University of Târgovi?te, Department of Mathematics, Bd. Unirii 18, 130082, Târgovi?te, Romania |
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| Abstract: | The aim of this paper is to introduce an approximations family of the factorial function that contains Stirling’s formula, Burnside’s formula and Gosper’s formula. The parameters which provide the best approximations are indicated. Finally, numerical computations are made to show the superiority of our formulas over other known formulas. |
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| Keywords: | Approximations Speed of convergence Factorial function Gamma function |
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