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