International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 2, Pages 355-362
doi:10.1155/S0161171289000414
Operational calculus for the continuous Legendre transform with applications
E.Y. Deeba1
and E.L. Koh2
1Department of Applied Mathematical Sciences, University of Houston-Downtown, Houston 77002, Texas, USA
2Department of Mathematics and Statistics, University of Regina, Regina S4S 0A2, Saskatchewan, Canada
Abstract
This paper develops an operational calculus for the continuous Legendre transform introduced and studied by Butzer, Stens and Wehrens [1]. It is an extension of the work done by Churchill et al [2], [31 for the discrete case. In particular, a differentiation theorem and a convolution theorem are proved and the results are applied to the solution of some boundary value problems.