Title
A Generalized Meijer Transformation
Keywords
Distributional GM and ML transforms; Meijer Transform
Abstract
In a series of papers [1–6], Kratzel studies a generalized version of the classical Meijer transformation with the Kernel function (st)v n (q, v + 1; (st)^). 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 (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. © 1985, Hindawi Publishing Corporation. All rights reserved.
Publication Date
1-1-1985
Publication Title
International Journal of Mathematics and Mathematical Sciences
Volume
8
Issue
2
Number of Pages
359-365
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1155/S0161171285000370
Copyright Status
Unknown
Socpus ID
84893655029 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84893655029
STARS Citation
Rao, G. L.N. and Debnath, L., "A Generalized Meijer Transformation" (1985). Scopus Export 1980s. 109.
https://stars.library.ucf.edu/scopus1980/109