Hankel contour integral

Hankel’s contour integral is a unit (and nilpotent) for gamma functionDlmfDlmfMathworldPlanetmath over . That is,


Hankel’s integral is holomorphic with simple zeros in 0. Its path of integration starts on the positive real axis ad infinitum, rounds the origin counterclockwise and returns to +. As an example of application of Hankel’s integral, we have


where the path of integration is the one above mentioned.

Title Hankel contour integral
Canonical name HankelContourIntegral
Date of creation 2013-03-22 17:27:50
Last modified on 2013-03-22 17:27:50
Owner perucho (2192)
Last modified by perucho (2192)
Numerical id 5
Author perucho (2192)
Entry type Result
Classification msc 30D30
Classification msc 33B15