Zeros of polynomials and recurrence relations with periodic coefficients

✍ Scribed by Jacek Gilewicz; Elie Leopold

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 126 KB
• Volume: 107
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(99)00092-8

✦ Synopsis

The location of all zeros of a ÿnite family of polynomials deÿned by three term recurrence relations with periodic coe cients 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 deÿning the polynomials in question is demonstrated.