The question is can we obtain the 'Borel sum' of an integral of f(x) from 0 to infinity as the Laplace transform of(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \int_{0}^{\infty}dx \frac{f(x)}{\Gamma(x+1+u)t^{x+u} [/tex]

where 'alpha' is a real or Complex number

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Can Borel resummation be applied to integrals ?

**Physics Forums | Science Articles, Homework Help, Discussion**