Full asymptotic expansion , Mathematics

Consider the integral

852_limit of 2.png

where the notation 1872_infinite limit.pngmeans a contour that is parallel to the real z axis, but moved down by a distance d. Use the method of steepest descents to derive the full asymptotic expansion of I2 in the limit e → 0. You will have to treat the cases s > 0 and s < 0 separately, although much of the working is the same for each.




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