Title of article :
Zeros of polynomials and recurrence relations with periodic coefficients
Author/Authors :
Gilewicz، نويسنده , , Jacek and Leopold، نويسنده , , Elie، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1999
Abstract :
The location of all zeros of a finite family of polynomials defined by three term recurrence relations with periodic coefficients is analyzed with the help of reference to the Chebyshev polynomials. In some particular cases the distribution of these zeros in the gaps between the intervals which support the continuous part of measure defining the polynomials in question is demonstrated.
Keywords :
Zero of polynomials , Orthogonal polynomial , Recurrence relation with periodic coefficients , Chebyshev polynomial
Journal title :
Journal of Computational and Applied Mathematics
Journal title :
Journal of Computational and Applied Mathematics