The asymptotic distribution of zeros of minimal blaschke products

Journal of Approximation Theory

Volumn 98, Issue 1, 1999, Pages 104-116

  Fisher, Stephen D ^a   Saff, E B ^b  

^a NORTHWESTERN UNIVERSITY   (United States)

^b UNIVERSITY OF SOUTH FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033130160     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1998.3280     Document Type: Article

References (18)

1. 1. H.-P. Blatt, E. B. Saff, and M. Simkani, Jentzsch-Szego type theorems for the zeros of best approximants, J. London Math. Soc. 38 (1988), 307-316.
2. 2. S. D. Fisher, "Function Theory on Planar Domains," Wiley, New York, 1983.
3. 3. S. D. Fisher and C. A. Micchelli, The n-width of sets of analytic functions, Duke Math. J. 47 (1980), 789-801.
4. 4. M. Fekete and J. L. Walsh, On the asymptotic behavior of polynomials with extremal properties, and of their zeros, J. Anal. Math. IV (1954), 49-87.
5. 5. J. Górski, Une remarque sur la méthode des points extrémaux de F. Leja, Ann. Polo. Math. (1959), 63-69.
6. 6. L. L. Helms, "Introduction to Potential Theory," Wiley, New York, 1963.
7. 7. E. Hille, "Analytic Function Theory," Vol. II, Ginn and Company, Boston, 1962.
8. 8. W. Kleiner, Degree of convergence of the extremal points method for Dirichlet's problem in the space, Colloquium Math. 12 (1964), 41-52.
9. 9. H. Kloke, "Punktsysteme mit extremalen Eigenschaften für ebene Kondensatoren," Doctoral thesis, Univ. Dortmund, 1984.
10. 10. N. S. Landkof, "Foundations of Modern Potential Theory," Die Grundlehren der Mathematische Wissenschaften, Vol. 180, Springer-Verlag, Berlin, 1972.
11. 11. A. L. Levin and E. B. Saff, Szego type asymptotics for minimal Blaschke products, in "Progress in Approximimation Theory" (A. A. Gonchar and E. B. Saff, Eds.), pp. 105-126, Springer-Verlag, Berlin/New York, 1992.
12. 12. K. Menke, On Tsuji points in continuum, Complex Variables Theory Appl. 2 (1983), 165-175.
13. 13. H. N. Mhaskar and E. B. Saff, Where does the sup norm of a weighted polynomial live?, Const. Approx. 1 (1985), 71-91.
14. 14. H. N. Mhaskar and E. B. Saff, The distribution of zeros of asymptotically extremal polynomials, J. Approx. Theory 65 (1991), 279-300.
15. 15. E. B. Saff and V. Totik, "Logarithmic Potentials with External Fields," Springer-Verlag, Heidelberg, 1997.
16. 16. M. Tsuji, "Potential Theory in Modern Function Theory," Maruzen, Tokyo, 1959.
17. 17. J. L. Walsh, Note on the location of zeros of extremal polynomials in the non-Euclidean plane, Serbian Acad. Sci. IV (1952), 157-160.
18. 18. H. Widom, Rational approximation and n-dimensional diameter, J. Approx. Theory 5 (1972), 343-361.