Resumen de Sobre el comportamiento asintótico de algunas sucesiones de polinomiosgeneradas por fórmulas linealesde recurrencia de segundo orden

Yu Takeuchi

• 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.