Generalized Laplace transform with matrix variables

In the present paper we have extended generalized Laplace transforms of Joshi to the space of m×m symmetric matrices using the confluent hypergeometric function of matrix argument defined by Herz as kernel. Our extension is given by g(z)=Γm(α)Γm(β)∫∧>01F1(α:β:−∧z) f(∧)d∧

Bibliographic Details
Main Authors: R. M. Joshi, J. M. C. Joshi
Format: Article
Language:English
Published: Hindawi Limited 1987-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171287000590