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Book Review
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Book Information
Author(s):
Herbert Stahl and Vilmos Totik
Title:
General orthogonal polynomials
Additional book information:
Encyclopaedia of Mathematics and its Applications, vol. 43, Cambridge University Press, Cambridge, 1992, 250 pp., US$59.95. ISBN 0-521-41534-9
References:
- [1]
- P. Erd\" os and P. Turan, On interpolation. \rm III, Ann. of Math. (2) \textbf{41} (1940), 510--553.
- [2]
- W. K. Hayman and P. B. Kennedy, Subharmonic functions, vol. 1, London Math. Society Monographs (N.S.), vol. 9, Academic Press, London, 1976.
- [3]
- N. S. Landkof, Foundations of modern potential theory, Grundlehren Math. Wiss., vol.~190, Springer, New York, 1972.
- [4]
- P. Nevai, Geza Freud, orthogonal polynomials and Christoffel functions, A Case Study, J. Approx. Theory \textbf{48} (1986), 3--167.
- [5]
- E. A. Rahmanov, On the asymptotics of the ratio of orthogonal polynomials. \rm II, Math. USSR-Sb. \textbf{46} (1983), 105--117.
- [6]
- E. B. Saff and V. Totik, Logarithmic potential with external fields.
- [7]
- T. J. Stieltjes, Recherches sur les fractions continues, Ann. Fac. Sci. Toulouse (1) \textbf{8} (1894), T1--122.
- [8]
- G. Szeg\" o, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ., vol. 23, Amer. Math. Soc., Providence, RI, 1975.
- [9]
- M. Tsuji, Potential theory in modern function theory, Maruzen, Tokyo, 1959.
- [10]
- J. L. Walsh, \emph{Interpolation and approximation by rational functions in the complex domain} vol.~20, Amer. Math. Soc., Providence, RI, 1969.
Additional Information:
Reviewer(s):
D. S.
Lubinsky
Review Information:
Journal:
Bull. Amer. Math. Soc.
28
(1993),
403-408.
DOI:
10.1090/S0273-0979-1993-00374-4
PII:
S 0273-0979(1993)00374-4
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