A family of heat functions as solutions of indeterminate moment problems
Francisco Marcos López García and
Ricardo Gómez
International Journal of Mathematics and Mathematical Sciences. Vol. 2007, Art. ID 41526, 11 pp.
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.