Evaluations of certain Catalan-Hankel Pfaffians via classical skew orthogonal polynomials
Classical Analysis and ODEs
2021-07-07 v1 Mathematical Physics
math.MP
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 -moment sequences.
Keywords
Cite
@article{arxiv.2102.00388,
title = {Evaluations of certain Catalan-Hankel Pfaffians via classical skew orthogonal polynomials},
author = {Bo-Jian Shen and Shi-Hao Li and Guo-Fu Yu},
journal= {arXiv preprint arXiv:2102.00388},
year = {2021}
}
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14 pages