Faxén integral

In mathematics, the Faxén integral (also named Faxén function) is the following integral[1] The integral is named after the Swedish physicist Olov Hilding Faxén, who published it in 1921 in his PhD thesis.

[2] More generally one defines the

-dimensional Faxén integral as[3] with for

denote the Gamma function, then For

one has the following relationship to the Scorer function For