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... |
Abstract
We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers.
This study is motivated by their key role in the (reciprocal) expansion of any power of a second order
q-differential operator having the q-classical polynomials as eigenfunctions in terms of other even order operators,
which we explicitly construct in this work. The results here obtained can be viewed as the q-version of
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 |
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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: | 10 Dec 2022 05:06 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/41224 (The current URI for this page, for reference purposes) |
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