Equilibrium measure and the distribution of zeros of the extremal polynomials of a discrete variable

Sbornik Mathematics

Volumn 187, Issue 7-8, 1996, Pages 1213-1228

  Rakhmanov, E A ^a,b  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^b UNIVERSITY OF SOUTH FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030305556     PISSN: 10645616     EISSN: 14684802     Source Type: Journal    
DOI: 10.1070/sm1996v187n08abeh000153     Document Type: Article

References (11)

1. P. L. Chebyshev, "Interpolation of equidistant values", Complete works, USSR Academy of Sciences Publishing House, Moscow-Leningrad, 1948; French transl., Oeuvres, Chelsea Publ. Co., New York 1962.
2. P. L. Chebyshev, "Interpolation of equidistant values", Complete works, USSR Academy of Sciences Publishing House, Moscow-Leningrad, 1948; French transl., Oeuvres, Chelsea Publ. Co., New York 1962.
3. A. F. Nikiforov, S. K. Suslov, and V. B. Uvarov, Classical orthogonal polynomials of a discrete variable, Nauka, Moscow 1985; English transl., Springer-Verlag, Berlin 1991.
4. A. F. Nikiforov, S. K. Suslov, and V. B. Uvarov, Classical orthogonal polynomials of a discrete variable, Nauka, Moscow 1985; English transl., Springer-Verlag, Berlin 1991.
5. I. I. Sharapudinov, "Asymptotic properties of the Hahn orthogonal polynomials of a discrete variable", Mat. Sb. 180 (1989), 1259-1277; English transl. in Math. USSR-Sb. 68 (1991).
6. I. I. Sharapudinov, "Asymptotic properties of the Hahn orthogonal polynomials of a discrete variable", Mat. Sb. 180 (1989), 1259-1277; English transl. in Math. USSR-Sb. 68 (1991).
7. A. A. Gonchar and E. A. Rakhmanov, "Equilibrium measure and distribution of the zeros of extremal polynomials", Mat. Sb. 125 (1984), 117-127; English transl. in Math. USSR-Sb. 53 (1986).
8. A. A. Gonchar and E. A. Rakhmanov, "Equilibrium measure and distribution of the zeros of extremal polynomials", Mat. Sb. 125 (1984), 117-127; English transl. in Math. USSR-Sb. 53 (1986).
9. E. B. Saff and V. Totik, Logarithmic potentials with external fields, Springer-Verlag, New York (to appear).
10. N. S. Landkof, Foundations of modern potential theory, Nauka, Moscow 1966; English transl., Springer-Verlag, New York 1962.
11. N. S. Landkof, Foundations of modern potential theory, Nauka, Moscow 1966; English transl., Springer-Verlag, New York 1962.