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Indeterminate moment problems related to birth and death processes with quartic rates

Christiansen, Jacob S. LU (2005) In Journal of Computational and Applied Mathematics 178(1-2 SPEC. ISS.). p.91-98
Abstract

We consider indeterminate symmetric moment problems related to birth and death processes with quartic rates. The Nevanlinna matrices are presented and the entire functions B and D are expressed in terms of the trigonometric functions of order 4. Several examples of symmetric and nonsymmetric solutions are given.

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author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Indeterminate moment problems, Nevanlinna parametrization, Symmetric and nonsymmetric solutions, Trigonometric functions of order 4
in
Journal of Computational and Applied Mathematics
volume
178
issue
1-2 SPEC. ISS.
pages
8 pages
publisher
Elsevier
external identifiers
  • scopus:14844359040
ISSN
0377-0427
DOI
10.1016/j.cam.2004.05.022
language
English
LU publication?
no
id
3c8d6d71-1e3d-47ab-b3ab-c7b3feab538f
date added to LUP
2025-07-11 11:46:50
date last changed
2025-10-14 12:54:23
@article{3c8d6d71-1e3d-47ab-b3ab-c7b3feab538f,
  abstract     = {{<p>We consider indeterminate symmetric moment problems related to birth and death processes with quartic rates. The Nevanlinna matrices are presented and the entire functions B and D are expressed in terms of the trigonometric functions of order 4. Several examples of symmetric and nonsymmetric solutions are given.</p>}},
  author       = {{Christiansen, Jacob S.}},
  issn         = {{0377-0427}},
  keywords     = {{Indeterminate moment problems; Nevanlinna parametrization; Symmetric and nonsymmetric solutions; Trigonometric functions of order 4}},
  language     = {{eng}},
  month        = {{06}},
  number       = {{1-2 SPEC. ISS.}},
  pages        = {{91--98}},
  publisher    = {{Elsevier}},
  series       = {{Journal of Computational and Applied Mathematics}},
  title        = {{Indeterminate moment problems related to birth and death processes with quartic rates}},
  url          = {{http://dx.doi.org/10.1016/j.cam.2004.05.022}},
  doi          = {{10.1016/j.cam.2004.05.022}},
  volume       = {{178}},
  year         = {{2005}},
}