On Mellin transforms of unramified Whittaker functions on GL(3,C)
The double Mellin transform of the unramified Whittaker functions on Gl(3,\({\mathbb{C}})\) are evaluated as products of Gamma functions. Several applications of this formula are indicated. In particular, the special Whittaker function occurring in connection with the cubic theta function on Gl(3,\({\mathbb{C}})\) is evaluated in terms of the Bessel function \(K_{1/3}\).
scientific article; zbMATH DE number 4105355
scientific article