Article
On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3
Author/s | Álvarez Nodarse, Renato
Arvesú Carballo, Jorge |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 1999 |
Deposit Date | 2016-05-31 |
Published in |
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Abstract | The main goal of this paper is to continue the study of the q-polynomials on non-uniform lattices by using the approach introduced by Nikiforov and Uvarov in 1983. We consider the q-polynomials on the non-uniform exponential ... The main goal of this paper is to continue the study of the q-polynomials on non-uniform lattices by using the approach introduced by Nikiforov and Uvarov in 1983. We consider the q-polynomials on the non-uniform exponential lattice x(s)= c 1 qs +c 3 and study some of their properties (differentiation formulas, structure relations, represntation in terms of hypergeometric and basic hypergeometric functions, etc). Special emphasis is given to q-analogues of the Charlier orthogonal polynomials. For these polynomials (Charlier) we compute the main data, i.e., the coefficients of the three-term recurrence relation, structure relation, the square of the norm, etc, in the exponential lattices, respectively. |
Funding agencies | Dirección General de Enseñanza Superior. España European Union (UE) |
Project ID. | PB 96-0120-C03-01
info:eu-repo/grantAgreement/EC/INTAS-93-0219 |
Citation | Álvarez Nodarse, R. y Arvesú Carballo, J. (1999). On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3. Integral Transforms and Special Functions, 8 (3-4), 299-324. |
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