International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 41526, 11 pages
A Family of Heat Functions as Solutions of Indeterminate Moment Problems
Instituto de Matemáticas, Universidad Nacional Autónoma de México, México DF CP 04510, Mexico
Received 7 March 2007; Accepted 25 June 2007
Academic Editor: Piotr Mikusinski
Copyright © 2007 Ricardo Gómez and Marcos López-García. 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 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 -Laguerre.