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diff --git a/sterling_approx.txt b/sterling_approx.txt new file mode 100644 index 0000000..5cb3f6e --- /dev/null +++ b/sterling_approx.txt @@ -0,0 +1,10 @@ + +# https://en.wikipedia.org/wiki/Sterling_Approximation +# An alternative approximation for the Gamma function stated by Srinivasa +# Ramanujan (Ramanujan 1988) is + + Gamma(1+x) ~= sqrt(pi)((x/e)^x)(8x^3 + 4x^2 + x + 1/30)^(1/6) + +# for x >= 0. The equivalent approximation for ln(n!) has an asymptotic error +# of 1/(1400*n^3) ... + |