International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 41526, 11 pages
doi:10.1155/2007/41526
A family of heat functions as solutions of indeterminate moment problems
Ricardo Gómez
and Marcos López-García
Instituto de Matemáticas, Universidad Nacional Autónoma de México, México DF CP 04510, Mexico
Abstract
We construct a family of functions satisfying the heat equation and show how they can be used to generate solutions to indeterminate moment problems. The following cases are considered: log-normal, generalized Stieltjes-Wigert, and q-Laguerre.