Loureiro, Ana F. and Maroni, P.
(2011)
*
Around q-Appell polynomial sequences.
*
Ramanujan Journal, 26
(3).
pp. 311-321.
ISSN 1382-4090.
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Official URL http://dx.doi.org/10.1007/s11139-011-9336-8 |

## Abstract

First we show that the quadratic decomposition of the Appell polynomials with respect to the q-divided difference operator is supplied by two other Appell sequences with respect to a new operator Mq;q-eq;q−, where ε represents a complex parameter different from any negative even integer number. While seeking all the orthogonal polynomial sequences invariant under the action of MÖq;q-e/2q;q−2 (the MÖq;q-e/2q;q−2 -Appell), only the Wall q-polynomials with parameter q ε/2+1 are achieved, up to a linear transformation. This brings a new characterization of these polynomial sequences.

Item Type: | Article |
---|---|

Uncontrolled keywords: | Orthogonal polynomials; Appell sequences; Lowering operators; q-derivative; Hahn’s operator; Quadratic decomposition |

Subjects: | Q Science > QA Mathematics (inc Computing science) > QA351 Special functions |

Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics |

Depositing User: | Ana F. Loureiro |

Date Deposited: | 11 Oct 2012 14:54 |

Last Modified: | 12 Feb 2013 16:18 |

Resource URI: | https://kar.kent.ac.uk/id/eprint/31547 (The current URI for this page, for reference purposes) |

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