d-orthogonality of discrete q-Hermite type polynomials
- Autores: I. Lamiri
- Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 170, Nº 1, 2013, págs. 116-133
- Idioma: inglés
- Enlaces
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Resumen
In this paper, we solve a characterization problem involving a suitable basic-hypergeometric form of a polynomial set. That allows us to introduce new examples of Lq -classical d-orthogonal polynomials, generalizing the discrete q-Hermite polynomials in the context of d-orthogonality, and a q-analogous for the d-orthogonal polynomials of Gould�Hopper. For the resulting polynomials, we derive miscellaneous properties. Those turn out to be limit relations, recurrence relations of order (d + 1), difference formulas, generating functions, inversion formulas, and d-dimensional functional vectors.
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