$$\int_{-\infty}^{-(-a+\frac{b}{y})^{1/2}}\frac{e^{-x^2}}{x}dx=-\frac{1 }{2 b^2}e^{a-\frac{b}{y}}\left[by+(a-1)y^2+{\cal O}(y^3)\right]$$
Carlo Beenakker
- 188.2k
- 18
- 448
- 651