A Family of Heat Functions as Solutions of Indeterminate Moment Problems

Ricardo Gómez, Marcos López-García
2007 International Journal of Mathematics and Mathematical Sciences  
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, andq-Laguerre.
doi:10.1155/2007/41526 fatcat:63m4osgoyjcxho3l6nlf5jl6fu