A generalized Meijer transformation
In a series of papers [1-6], Kratzel studies a generalized version of the classical Meijer transformation with the Kernel function (st)νη(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 genera...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000370 |
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| Summary: | In a series of papers [1-6], Kratzel studies a generalized version of the classical Meijer transformation with the Kernel function (st)νη(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 λν(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. |
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| ISSN: | 0161-1712 1687-0425 |