A generalized Meijer transformation

G. L. N. Rao and L. Debnath

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-7

Abstract:

In a series of papers [1-6], Kratzel studies a generalized version of the classical Meijer transformation with the Kernel function ( st ) ν η ( q , ν + 1 ; ( st ) q ) . This transformation is referred to as GM transformation which reduces to the classical Meijer transform when q = 1 . He also discussed a second generalization of the Meijer transform involving the Kernel function λ ν ( n ) ( x ) which reduces to the Meijer function when n = 2 and the Laplace transform when n = 1 . This is called the Meijer-Laplace (or ML) transformation. This paper is concerned with a study of both GM and ML transforms in the distributional sense. Several properties of these transformations including inversion, uniqueness, and analyticity are discussed in some detail.

Date: 1985
References: Add references at CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/8/876760.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/8/876760.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:876760

DOI: 10.1155/S0161171285000370

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 ().