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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information

Author: 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 [Enhancements On Off] (What's this?)

  • [1] Paul Erdös and Paul Turán, On interpolation. III. Interpolatory theory of polynomials, Ann. of Math. (2) 41 (1940), 510–553. MR 0001999 (1,333e)
  • [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, Springer-Verlag, New York, 1972. Translated from the Russian by A. P. Doohovskoy; Die Grundlehren der mathematischen Wissenschaften, Band 180. MR 0350027 (50 #2520)
  • [4] Paul Nevai, Géza Freud, orthogonal polynomials and Christoffel functions. A case study, J. Approx. Theory 48 (1986), no. 1, 167. MR 862231 (88b:42032), http://dx.doi.org/10.1016/0021-9045(86)90016-X
  • [5] E. A. Rahmanov, On the asymptotics of the ratio of orthogonal polynomials. II, Math. USSR-Sb. 46 (1983), 105-117.
  • [6] Edward B. Saff and Vilmos Totik, Logarithmic potentials with external fields, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 316, Springer-Verlag, Berlin, 1997. Appendix B by Thomas Bloom. MR 1485778 (99h:31001)
  • [7] T. J. Stieltjes, Recherches sur les fractions continues, Ann. Fac. Sci. Toulouse Math. (6) 4 (1995), no. 1, Ji–Jiv, J1–J35 (French). Reprint of the 1894 original; With an introduction by Jean Cassinet. MR 1344720 (97i:01054a), http://dx.doi.org/10.5802/afst.789
  • [8] G. Szegö, 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 Co. Ltd., Tokyo, 1959. MR 0114894 (22 #5712)
  • [10] J. L. Walsh, Interpolation and approximation by rational functions in the complex domain, Fourth edition. American Mathematical Society Colloquium Publications, Vol. XX, American Mathematical Society, Providence, R.I., 1965. MR 0218588 (36 #1672b)


Review Information

Reviewer: D. S. Lubinsky
Journal: Bull. Amer. Math. Soc. 28 (1993), 403-408
DOI: http://dx.doi.org/10.1090/S0273-0979-1993-00374-4
PII: S 0273-0979(1993)00374-4