Spouge's approximation

In mathematics, Spouge's approximation is a formula for computing an approximation of the gamma function. It was named after John L. Spouge, who defined the formula in a 1994 paper. The formula is a modification of Stirling's approximation, and has the form where a is an arbitrary positive integer and the coefficients are given by Spouge has proved that, if Re(z) > 0 and a > 2, the relative error in discarding εa(z) is bounded by

Spouge's approximation

In mathematics, Spouge's approximation is a formula for computing an approximation of the gamma function. It was named after John L. Spouge, who defined the formula in a 1994 paper. The formula is a modification of Stirling's approximation, and has the form where a is an arbitrary positive integer and the coefficients are given by Spouge has proved that, if Re(z) > 0 and a > 2, the relative error in discarding εa(z) is bounded by