On the q-polynomials in the exponential lattice x(s)=c1qs+c3
Titel:
On the q-polynomials in the exponential lattice x(s)=c1qs+c3
Auteur:
Alvarez-Nodarse, R. Arvesu, J.
Verschenen in:
Integral transforms and special functions
Paginering:
Jaargang 8 (1999) nr. 3-4 pagina's 299-324
Jaar:
1999-12
Inhoud:
The main goal of this paper is to continue the sutudy 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)= c1qs+c3 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 [image omitted] , respectively.
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