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.

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Bibliographic Details
Main Authors: Ricardo Gómez, Marcos López-García
Format: Article
Language:English
Published: Wiley 2007-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2007/41526
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Description
Summary: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.
ISSN:0161-1712
1687-0425