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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/41526 |
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| _version_ | 1849304993518059520 |
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| author | Ricardo Gómez Marcos López-García |
| author_facet | Ricardo Gómez Marcos López-García |
| author_sort | Ricardo Gómez |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3d56f5a401c547eeb6001d030ebd75ef |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3d56f5a401c547eeb6001d030ebd75ef2025-08-20T03:55:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/4152641526A Family of Heat Functions as Solutions of Indeterminate Moment ProblemsRicardo Gómez0Marcos López-García1Instituto de Matemáticas, Universidad Nacional Autónoma de México, México DF CP 04510, MexicoInstituto de Matemáticas, Universidad Nacional Autónoma de México, México DF CP 04510, MexicoWe 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.http://dx.doi.org/10.1155/2007/41526 |
| spellingShingle | Ricardo Gómez Marcos López-García A Family of Heat Functions as Solutions of Indeterminate Moment Problems International Journal of Mathematics and Mathematical Sciences |
| title | A Family of Heat Functions as Solutions of Indeterminate Moment Problems |
| title_full | A Family of Heat Functions as Solutions of Indeterminate Moment Problems |
| title_fullStr | A Family of Heat Functions as Solutions of Indeterminate Moment Problems |
| title_full_unstemmed | A Family of Heat Functions as Solutions of Indeterminate Moment Problems |
| title_short | A Family of Heat Functions as Solutions of Indeterminate Moment Problems |
| title_sort | family of heat functions as solutions of indeterminate moment problems |
| url | http://dx.doi.org/10.1155/2007/41526 |
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