asymptoticExpansion

URI: https://gptkb.org/prop/asymptoticExpansion
3 triples
GPTKB property
Random triples
Subject Object
gptkb:digamma_function ψ(x) ~ ln x - 1/(2x) for large x
gptkb:Stirling's_approximation n! ~ sqrt(2πn) (n/e)^n [1 + 1/(12n) + 1/(288n^2) - ...]
gptkb:Polygamma_function ψ⁽ⁿ⁾(z) ~ (-1)^{n+1} n! ∑_{k=0}^∞ B_{k+n+1}/(k+n+1) z^{k+n+1}