Bessel-type functions of matrix variables

Salem Ben Said (1)

1 IECN - Institut Élie Cartan de Nancy

we compute explicitly a ceratin type of hypergeometric function of matrix variables given as an integral of a Gaussian-type kernel. In the case of one variable, this function is related to the modified Bessel function of the third kind.

Domaines: Analyse fonctionnelle [math.FA]

Salem Ben Said. Bessel-type functions of matrix variables. Hiroshima Mathematical Journal, 2005, 35, pp.31-45. ⟨hal-00095019⟩