BOUNDS FOR THE EXTREME ZEROS OF POLYNOMIALS GENERATED BY A CERTAIN RECURRENCE RELATION*

Alagacone SRI RANGA[1]

Luiz Carlos MATIOLI[2]

§    ABSTRACT: In this article, we consider the polynomials generated by certain three term recurrence relation and provide bounds for the largest and for the smallest zeros of these polynomials in terms of the coefficients of the recurrence relation.

§    KEYWORDS: Three term recurrence relation; polynomials similar to orthogonal polynomials

 

 

 



* This paper was supported by CNPq and FAPESP of Brazil.

[1]Departamento de Ciências da Computação e Estatística - Instituto de Biociências, Letras e Ciências Exatas - UNESP - 15054-000 São José do Rio Preto - SP - Brasil..

[2]Departamento de Matemática - Universidade Federal do Paraná - 81531-990 - Curitiba - PR - Brasil.