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Ramanujan formula for the generalized Stirling approximation
Authors:Cristinel Mortici
Affiliation:Department of Mathematics, Valahia University of Târgovi?te, Bd. Unirii 18, 130082 Târgovi?te, Romania
Abstract:The aim of this paper is to improve Ramanujan’s formula for approximation of the factorial function, starting from Burnside’s formula in contradistinction with the classical formula that starts from Stirling’s formula.
Keywords:Stirling&rsquo  s formula   Burnside&rsquo  s formula   Ramanujan&rsquo  s formula   Factorial function   Gamma function   Approximations   Rate of convergence
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