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Non-intersecting path explanation for block Pfaffians and applications into skew-orthogonal polynomials
- Publication Year :
- 2024
-
Abstract
- In this paper, we mainly consider a combinatoric explanation for block Pfaffians in terms of non-intersecting paths, as a generalization of results obtained by Stembridge. As applications, we demonstrate how are generating functions of non-intersecting paths related to skew orthogonal polynomials and their deformations, including a new concept called multiple partial-skew orthogonal polynomials.<br />Comment: 22 pages, 4 figures
- Subjects :
- Mathematics - Combinatorics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2404.00281
- Document Type :
- Working Paper