Casorati type determinants of some $\mathfrak {q}$-classical orthogonal polynomials
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- by Antonio J. Durán and Jorge Arvesú PDF
- Proc. Amer. Math. Soc. 144 (2016), 1655-1668 Request permission
Abstract:
Some symmetries for Casorati determinants whose entries are $\mathfrak {q}$-classical orthogonal polynomials are studied. Special attention is paid to the symmetry involving Big $\mathfrak {q}$-Jacobi polynomials. Some limiting situations, for other related $\mathfrak {q}$-classical orthogonal polynomial families in the $\mathfrak {q}$-Askey scheme, namely $\mathfrak {q}$-Meixner, $\mathfrak {q}$-Charlier, and $\mathfrak {q}$-Laguerre polynomials, are considered.References
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Additional Information
- Antonio J. Durán
- Affiliation: Departamento de Análisis Matemático, Universidad de Sevilla, Apdo (P. O. BOX) 1160, 41080 Sevilla, Spain
- Email: duran@us.es
- Jorge Arvesú
- Affiliation: Department of Mathematics, Universidad Carlos III de Madrid, Avda. de la Universidad, 30, 28911, Leganés, Madrid, Spain
- Email: jarvesu@math.uc3m.es
- Received by editor(s): December 4, 2014
- Received by editor(s) in revised form: April 28, 2015
- Published electronically: September 9, 2015
- Additional Notes: This work was partially supported by MTM2012-36732-C03-03 (Ministerio de Economía y Competitividad), FQM-262, FQM-4643, FQM-7276 (Junta de Andalucía) and Feder Funds (European Union). The research of the second author was partially supported by the project MTM2012-36732-C03-01 (Ministerio de Economía y Competitividad)
- Communicated by: Walter Van Assche
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 1655-1668
- MSC (2010): Primary 42C05, 33C45
- DOI: https://doi.org/10.1090/proc/12839
- MathSciNet review: 3451241