Let be any function for which the integral
converges. Then the expansion
where is the gamma function, is usually an asymptotic series for .
Let be any function for which the integral
converges. Then the expansion
where is the gamma function, is usually an asymptotic series for .
Weisstein, Eric W. "Borel's Expansion." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BorelsExpansion.html