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Penson, Karol A.; Blasiak, Pawel; Duchamp, Gerard H. E.; Horzela, Andrzej and Solomon, Allan I.
(2010).
URL: http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/art...
Abstract
We construct explicit solutions of a number of Stieltjes moment problems based on moments of the form (2rn)! and [(rn)!]2. It is shown using criteria for uniqueness and non-uniqueness (Carleman, Krein, Berg, Pakes, Stoyanov) that for r > 1 both forms give rise to non-unique solutions. Examples of such solutions are constructed using the technique of the inverse Mellin transform supplemented by a Mellin convolution. We outline a general method of generating non-unique solutions for moment problems.
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About
- Item ORO ID
- 22209
- Item Type
- Journal Item
- ISSN
- 1365-8050
- Keywords
- Stieltjes moment problem; Mellin transform
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2010 Discrete Mathematics and Theoretical Computer Science (DMTCS)
- Depositing User
- Allan Solomon