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pro vyhledávání: '"Bonneux, Niels"'
Autor:
Bonneux, Niels
Publikováno v:
Mathematical Physics, Analysis and Geometry 23 (2020), Article number: 36
In this paper we consider Wronskian polynomials labeled by partitions that can be factorized via the combinatorial concepts of $p$-cores and $p$-quotients. We obtain the asymptotic behavior for these polynomials when the $p$-quotient is fixed while t
Externí odkaz:
http://arxiv.org/abs/2005.03516
Publikováno v:
Studies in Applied Mathematics 144 (2020), 245-288
We study Wronskians of Hermite polynomials labelled by partitions and use the combinatorial concepts of cores and quotients to derive explicit expressions for their coefficients. These coefficients can be expressed in terms of the characters of irred
Externí odkaz:
http://arxiv.org/abs/1909.03874
Autor:
Bonneux, Niels, Stevens, Marco
Publikováno v:
Integral Transforms and Special Functions 32:5-8 (2021), 395-406
The 3-term recurrence relation for Hermite polynomials was recently generalized to a recurrence relation for Wronskians of Hermite polynomials. In this note, a similar generalization for Laguerre polynomials is obtained.
Comment: 10 pages, accep
Comment: 10 pages, accep
Externí odkaz:
http://arxiv.org/abs/1905.12312
Publikováno v:
Advances in Applied Mathematics, Volume 111, October 2019, 101932
We study Wronskians of Appell polynomials indexed by integer partitions. These families of polynomials appear in rational solutions of certain Painlev\'e equations and in the study of exceptional orthogonal polynomials. We determine their derivatives
Externí odkaz:
http://arxiv.org/abs/1812.01864
Autor:
Bonneux, Niels
Publikováno v:
Journal of Approximation Theory, Volume 239, March 2019, Pages 72-112
In this paper we present a systematic way to describe exceptional Jacobi polynomials via two partitions. We give the construction of these polynomials and restate the known aspects of these polynomials in terms of their partitions. The aim is to show
Externí odkaz:
http://arxiv.org/abs/1804.01323
Autor:
Bonneux, Niels, Stevens, Marco
Publikováno v:
SIGMA 14 (2018), 048, 29 pages
We consider polynomials that are defined as Wronskians of certain sets of Hermite polynomials. Our main result is a recurrence relation for these polynomials in terms of those of one or two degrees smaller, which generalizes the well-known three term
Externí odkaz:
http://arxiv.org/abs/1801.07980
Autor:
Bonneux, Niels, Kuijlaars, Arno B. J.
Publikováno v:
Studies in Applied Mathematics 141 (2018), 547-595
The aim of this paper is to present the construction of exceptional Laguerre polynomials in a systematic way, and to provide new asymptotic results on the location of the zeros. To describe the exceptional Laguerre polynomials we associate them with
Externí odkaz:
http://arxiv.org/abs/1708.03106
Publikováno v:
In Advances in Applied Mathematics October 2019 111
Autor:
Bonneux, Niels1 (AUTHOR) niels.bonneux@kuleuven.be, Dunning, Clare2 (AUTHOR), Stevens, Marco1 (AUTHOR)
Publikováno v:
Studies in Applied Mathematics. Apr2020, Vol. 144 Issue 3, p245-288. 44p. 9 Diagrams, 2 Charts.