Asymptotics for the greatest zeros of solutions of a particular O.D.E.

Authors

  • Silvia Noschese
  • Paolo Emilio Ricci

Keywords:

Ordinary differential equations, Orthogonal polynomials, Zero-distribution, Asymptotics

Abstract

This paper deals with the Liouville-Stekeloff method for approximating solutions of homogeneous linear ODE and a general result due to Tricomi which provides estimates for the zeros of functions by means of the knowledge of an asymptotic representation. From the classical tools we deduce information about the asymptotics of the greatest zeros of a class of solutions of a particular ODE, including the classical Hermite polynomials.

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Published

1995-03-01

Issue

Vol. 49 No. 1 (1994)

Section

Articoli

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