International Journal of Mathematics and Mathematical Sciences 
Volume 2004 (2004), Issue 63, 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
Received 18 July 2004; Revised 22 July 2004

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.