Some new asymptotic properties for the zeros of Jacobi, Laguerre, and Hermite polynomials

Constructive Approximation

Volumn 11, Issue 2, 1995, Pages 227-238

  Dette, H ^a   Studden, W J ^b  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

^b PURDUE UNIVERSITY   (United States)

Author keywords

AMS classification: 33C45; Asymptotic zero distribution; chain sequences; Hermite polynomials; Jacobi polynomials; Laguerre polynomials

Indexed keywords

EID: 21844504037     PISSN: 01764276     EISSN: 14320940     Source Type: Journal    
DOI: 10.1007/BF01203416     Document Type: Article

References (16)

1. On asymptotics of Jacobi polynomials
2. On a new characterization of the classical orthogonal polynomials
3. New properties of the zeros of a Jacobi polynomial in relation to their centroid
4. Strong asymptotics and the asymptotic zero distributions of Laguerre polynomials Lnan+α(x) and Hermite polynomials Hnan+α(x)
5. Strong asymptotics and the limit distribution of the zeros of the Jacobi polynomials Pnan+α,bn+β
6. Equilibrium measure and the distribution of zeros of extremal polynomials
7. Bound on the extreme zeros of orthogonal polynomials
8. Weighted polynomials on finite and infinite intervals: a unified approach
9. On the zeros of Jacobi polynomials Pie227-1
10. Principal representations and canonical moment sequences for distributions on an interval