|Busque Autor |

    Revista Colombiana de Matemáticas
    Volumen 32 [ 2] ( 1998) Páginas 143-172

    Sobre el comportamiento asintótico de algunas sucesiones de polinomios generadas por fórmulas lineales de recurrencia de segundo orden

    Yu Takeuchi
    Universidad Nacional de Colombia, Bogotá

    Abstract. The asymptotic behavior of systems of polynomials defined by linear second order recurrence relations of the form; where , is studied. As an application of the results, the domains of convergence of polynomial series of the form 1 with lim sup are determined, and the well known Abel's lemma for power series is extended to such series under appropriate assumptions. The latter problem had been previously addressed by professor Miguel Dumett in [3] from a different point of view.

    Palabras claves. Linear second order recurrence relations, independen solutions, asymptotic behavior of solutions, bounded and uniformly bounded variation, Chebyshev, Legendre, Gegenbauer and Jacobi polynomials, Abel-Picard convergence.

    Codigo AMS. 1991 Primary 42C05. Secondary 42C10, 42C15.

    Archivo completo : Formato [PDF] (977 K). Formato [DVI] (600 K).