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Evaluations of certain Catalan-Hankel Pfaffians via classical skew orthogonal polynomials
- Publication Year :
- 2021
-
Abstract
- This paper is to evaluate certain Catalan-Hankel Pfaffians by the theory of skew orthogonal polynomials. Due to different kinds of hypergeometric orthogonal polynomials underlying the Askey scheme, we explicitly construct the classical skew orthogonal polynomials and then give different examples of Catalan-Hankel Pfaffians with continuous and $q$-moment sequences.<br />Comment: 14 pages
- Subjects :
- Mathematics - Classical Analysis and ODEs
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2102.00388
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1751-8121/ac0086