International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 61-64, Pages 3379-3387
doi:10.1155/S0161171204407650
Some results on a generalized ω-Jacobi transform
Y. Ben Nakhi
and S.L. Kalla
Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
Abstract
We introduce a generalized ω-Jacobi transform and obtain images of certain functions under this transform. Moreover, we define a new probability density function (pdf) involving this new generalized ω-Jacobi function. Some basic functions associated with the pdf, such as characteristic function, moments and distribution function, are evaluated.