Newton's formulas and recurrence coefficients of orthogonal polynomials

I. Labiod, B. Aloui

An orthogonal polynomial sequence satisfies a non linear three-term recurrence relation. In this paper, we determine the recurrence coefficients by using the Newton's formulas. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 18(1) (2025), pp. 199-210