Transformation of Gamma Function

*To*: mathgroup at smc.vnet.net*Subject*: [mg31266] Transformation of Gamma Function*From*: Andre Kronimus <kronimus at whu.edu>*Date*: Fri, 26 Oct 2001 04:28:05 -0400 (EDT)*Organization*: Wissenschaftliche Hochschule*Sender*: owner-wri-mathgroup at wolfram.com

Hi, when evaluating the integral (Exp[-Exp[-k t]-t], {t,0,infinity},{k>0}) in Mathematica, it returns a transformed version including Gamma functions, namely Gamma[1+1/k]-Gamma[1/k,1]/k. The two expressions are identical for some numerical values that I checked. However, I have been unable to figure out which transformation rules Mthematica used for transforming the original integral. Does anybody have an idea which rules have been used or how to force Mathematica to output every intermediate step of the transformation? Andre

**Follow-Ups**:**RE: Transformation of Gamma Function***From:*"Higinio Ramos" <higra@usal.es>