International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 63, Pages 3379-3387
Some results on a generalized -Jacobi transform
Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
Received 18 July 2004; Revised 22 July 2004
Copyright © 2004 Y. Ben Nakhi and S. L. Kalla. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We introduce a generalized -Jacobi transform and obtain
images of certain functions under this transform. Moreover, we
define a new probability density function (pdf) involving this new
generalized -Jacobi function. Some basic functions
associated with the pdf, such as characteristic function, moments
and distribution function, are evaluated.