Loureiro, Ana F., Zeng, J. (2016) q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers. q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers, 289 (5-6). pp. 693-717. (doi:10.1002/mana.201400381) (KAR id:41224)
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| Official URL http://onlinelibrary.wiley.com/wol1/doi/10.1002/ma... |
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Abstract
We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers.
q-differential operator having the q-classical polynomials as eigenfunctions in terms of other even order operators,
those given by Everitt et al. and by the first author, whilst the combinatorics of this new set of numbers is a
q-version of the Jacobi–Stirling numbers given by Gelineau and the second author.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1002/mana.201400381 |
| Subjects: |
Q Science > QA Mathematics (inc Computing science) Q Science > QA Mathematics (inc Computing science) > QA165 Combinatorics Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Ana F. Loureiro |
| Date Deposited: | 29 May 2014 15:59 UTC |
| Last Modified: | 16 Feb 2021 12:53 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/41224 (The current URI for this page, for reference purposes) |
| Loureiro, Ana F.: |  https://orcid.org/0000-0002-4137-8822 |
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