A Family of Heat Functions as Solutions of Indeterminate Moment Problems

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.

Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences
Main Authors: Ricardo Gómez, Marcos López-García
Format: Article
Language:English
Published: Wiley 2007-01-01
Online Access:http://dx.doi.org/10.1155/2007/41526