- #1
bruno67
- 32
- 0
How do I calculate the integral
[tex]\int_{ix}^{i\infty} e^{-t} t^{-s-1}dt,[/tex]
where [itex]x>0[/itex], [itex]s>0[/itex]? Mathematica gives [itex]\Gamma(-s,ix)[/itex], where [itex]\Gamma(\cdot,\cdot)[/itex] is the incomplete gamma function, but I am not sure how to justify this formally.
[tex]\int_{ix}^{i\infty} e^{-t} t^{-s-1}dt,[/tex]
where [itex]x>0[/itex], [itex]s>0[/itex]? Mathematica gives [itex]\Gamma(-s,ix)[/itex], where [itex]\Gamma(\cdot,\cdot)[/itex] is the incomplete gamma function, but I am not sure how to justify this formally.