Journal of Applied Mathematics and Stochastic Analysis 
Volume 15 (2002), Issue 4, Pages 371-385
doi:10.1155/S1048953302000308

On a generalized Jacobi transform

José Sarabia1 and S. L. Kalla2

 1UNEXPO, Sección de Matemática, Apartado Postal 352, Barquisimeto, Venezuela
2Kuwait University, Department of Mathematics and Computer Science, P.O. Box 5959, Safat 13050, Kuwait
Received 1 May 2001; Revised 1 November 2001

Abstract

In this paper, we study a generalized Jacobi transform and obtain images of certain functions under this transform. Furthermore, we define a Jacobi random variable and derive its moments, distribution function, and characteristic function.