International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 2, Pages 345-354
doi:10.1155/S0161171285000357
The second continuous Jacobi transform
E.Y. Deeba1
and E.L. Koh2
1Department of Applied Mathematical Sciences, University of Houston-Downtown, Houston 77002, Texas, USA
2Department of Mathematics and Statistics, University of Regina, Regina S4S 0A2, Canada
Abstract
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].