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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| Format: | Article |
| Language: | English |
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Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171285000370 |
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| _version_ | 1832556542829789184 |
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| author | G. L. N. Rao L. Debnath |
| author_facet | G. L. N. Rao L. Debnath |
| author_sort | G. L. N. Rao |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-2cfacd799d1c4fdaa59492ec2ca7c361 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2cfacd799d1c4fdaa59492ec2ca7c3612025-02-03T05:44:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018235936510.1155/S0161171285000370A generalized Meijer transformationG. L. N. Rao0L. Debnath1Department of Mathematics, Jamshedpur Co-operative College of the Ranchi University, Jamshedpur, IndiaDepartment of Mathematics, University of Central Florida, Orlando 32816, Florida, USAIn 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.http://dx.doi.org/10.1155/S0161171285000370distributional GM and ML transformsMeijer transform. |
| spellingShingle | G. L. N. Rao L. Debnath A generalized Meijer transformation International Journal of Mathematics and Mathematical Sciences distributional GM and ML transforms Meijer transform. |
| title | A generalized Meijer transformation |
| title_full | A generalized Meijer transformation |
| title_fullStr | A generalized Meijer transformation |
| title_full_unstemmed | A generalized Meijer transformation |
| title_short | A generalized Meijer transformation |
| title_sort | generalized meijer transformation |
| topic | distributional GM and ML transforms Meijer transform. |
| url | http://dx.doi.org/10.1155/S0161171285000370 |
| work_keys_str_mv | AT glnrao ageneralizedmeijertransformation AT ldebnath ageneralizedmeijertransformation AT glnrao generalizedmeijertransformation AT ldebnath generalizedmeijertransformation |