Generalized Laplace transform with matrix variables

R. M. Joshi and J. M. C. Joshi

International Journal of Mathematics and Mathematical Sciences, 1987, vol. 10, 1-9

Abstract:

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 ) = Γ m ( α ) Γ m ( β ) ∫ ∧ > 0 1 F 1 ( α : β : − ∧ z ) f ( ∧ ) d ∧

The convergence of this integral under various conditions has also been discussed. The real and complex inversion theorems for the transform have been proved and it has also been established that Hankel transform of functions of matrix argument are limiting cases of the generalized Laplace transforms.

Date: 1987
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/10/586307.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/10/586307.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:586307

DOI: 10.1155/S0161171287000590

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().