With Mathematica, the
Series function gives a power series expansion. But I am looking for a different type of expansion. Let me explain :
$Assumptions = Element[x, Reals] && x > 0
f := Exp[x^2]*Erfc[x]
Series[f, {x, 0, 5}]
This gives the result :
SeriesData[x, 0, {
1, (-2) Pi^Rational[-1, 2], 1, Rational[-4, 3] Pi^Rational[-1, 2],
Rational[1, 2], Rational[-8, 15] Pi^Rational[-1, 2]}, 0, 6, 1]
But I am interested in getting an asymptotic expansion of the formĀ given in Abrahamson and Stegun (as shown below). How can I get these type of expansions with Mathematica? I would appreciate any help that I can get.