International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1987 / Article

Open Access

Volume 10 |Article ID 809132 | https://doi.org/10.1155/S0161171287000796

Ahmed I. Zayed, "A generalized inversion formula for the continuous Jacobi transform", International Journal of Mathematics and Mathematical Sciences, vol. 10, Article ID 809132, 22 pages, 1987. https://doi.org/10.1155/S0161171287000796

A generalized inversion formula for the continuous Jacobi transform

Received19 Aug 1986
Revised10 Sep 1986

Abstract

In this paper we extend the definition of the continuous Jacobi transform to a class of generalized functions and obtain a generalized inversion formula for it. As a by-product of our technique we obtain a necessary and sufficient condition for an analytic function F(λ) in Reλ>0 to be the continuous Jacobi transform of a generalized function.

Copyright © 1987 Hindawi Publishing Corporation. 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.


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