The second continuous Jacobi transform
This paper continues the work started in [1]; a second continuous Jacobi transform is defined for suitable functions f(x). Properties of the transform are studied. In particular, the first continuous Jacobi transform in [1] and the second continuous Jacobi transform are shown to be inverse to each o...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1985-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000357 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832568226984230912 |
|---|---|
| author | E. Y. Deeba E. L. Koh |
| author_facet | E. Y. Deeba E. L. Koh |
| author_sort | E. Y. Deeba |
| collection | DOAJ |
| description | This paper continues the work started in [1]; a second continuous Jacobi transform is defined for suitable functions f(x). Properties of the transform are studied. In particular, the first continuous Jacobi transform in [1] and the second continuous Jacobi transform are shown to be inverse to each other. The paper concludes with an extension of Campbell's sampling theorem [2]. |
| format | Article |
| id | doaj-art-88027b2507d34580bcdbbae461c572ec |
| 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-88027b2507d34580bcdbbae461c572ec2025-02-03T00:59:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018234535410.1155/S0161171285000357The second continuous Jacobi transformE. Y. Deeba0E. L. Koh1Department of Applied Mathematical Sciences, University of Houston–Downtown, Houston, Texas 77002, USADepartment of Mathematics and Statistics, University of Regina, Regina S4S 0A2, CanadaThis paper continues the work started in [1]; a second continuous Jacobi transform is defined for suitable functions f(x). Properties of the transform are studied. In particular, the first continuous Jacobi transform in [1] and the second continuous Jacobi transform are shown to be inverse to each other. The paper concludes with an extension of Campbell's sampling theorem [2].http://dx.doi.org/10.1155/S0161171285000357continuous Jocobi transforminverse Jacobi transformdiscrete Jacobi transformsampling theorem. |
| spellingShingle | E. Y. Deeba E. L. Koh The second continuous Jacobi transform International Journal of Mathematics and Mathematical Sciences continuous Jocobi transform inverse Jacobi transform discrete Jacobi transform sampling theorem. |
| title | The second continuous Jacobi transform |
| title_full | The second continuous Jacobi transform |
| title_fullStr | The second continuous Jacobi transform |
| title_full_unstemmed | The second continuous Jacobi transform |
| title_short | The second continuous Jacobi transform |
| title_sort | second continuous jacobi transform |
| topic | continuous Jocobi transform inverse Jacobi transform discrete Jacobi transform sampling theorem. |
| url | http://dx.doi.org/10.1155/S0161171285000357 |
| work_keys_str_mv | AT eydeeba thesecondcontinuousjacobitransform AT elkoh thesecondcontinuousjacobitransform AT eydeeba secondcontinuousjacobitransform AT elkoh secondcontinuousjacobitransform |