Loureiro, Ana F., Zeng, J. (2016) qDifferential equations for qclassical polynomials and qJacobiStirling numbers. qDifferential equations for qclassical polynomials and qJacobiStirling numbers, 289 (56). pp. 693717. (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 socalled qJacobi–Stirling numbers.
This study is motivated by their key role in the (reciprocal) expansion of any power of a second order
qdifferential operator having the qclassical 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 qversion of
those given by Everitt et al. and by the first author, whilst the combinatorics of this new set of numbers is a
qversion 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:  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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