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Laguerre and Meixner Orthogonal Bases in the Algebra of Symmetric Functions
- Source :
- International Mathematics Research Notices. 2012:3615-3679
- Publication Year :
- 2011
- Publisher :
- Oxford University Press (OUP), 2011.
-
Abstract
- Analogs of Laguerre and Meixner orthogonal polynomials in the algebra of symmetric functions are studied. This is a detailed exposition of part of the results announced in arXiv:1009.2037. The work is motivated by a connection with a model of infinite-dimensional Markov dynamics.<br />Comment: Latex, 52pp
- Subjects :
- Laguerre's method
Power sum symmetric polynomial
Triple system
General Mathematics
Mathematics::Classical Analysis and ODEs
FOS: Physical sciences
Mathematical Physics (math-ph)
Complete homogeneous symmetric polynomial
Algebra
Orthogonal polynomials
FOS: Mathematics
Laguerre polynomials
Mathematics - Combinatorics
Elementary symmetric polynomial
Combinatorics (math.CO)
Ring of symmetric functions
Mathematical Physics
Mathematics
Subjects
Details
- ISSN :
- 16870247 and 10737928
- Volume :
- 2012
- Database :
- OpenAIRE
- Journal :
- International Mathematics Research Notices
- Accession number :
- edsair.doi.dedup.....7d60e95cc9eac6281525a1c18ecf5848
- Full Text :
- https://doi.org/10.1093/imrn/rnr153