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Transactions of the American Mathematical Society

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Distribution of zeros of orthogonal polynomials

Author: Paul G. Nevai
Journal: Trans. Amer. Math. Soc. 249 (1979), 341-361
MSC: Primary 42C05
MathSciNet review: 525677
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Abstract: The purpose of the paper is to investigate distribution of zeros of orthogonal polynomials given by a three term recurrence relation.

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

  • [1] R. Askey, Orthogonal polynomials and special functions, Regional Conference Series, vol. 21, SIAM, Philadelphia, Pa., 1975. MR 0481145 (58:1288)
  • [2] R. Askey and S. Wainger, A dual convolution structure for Jacobi polynomials, Orthogonal Expansions and Their Continuous Analogues, D. T. Haimo, ed., Southern Illinois Univ. Press, Carbondale, Ill., 1968, pp. 25-36. MR 0232027 (38:353)
  • [3] K. M. Case, Orthogonal polynomials revisited, Theory and Application of Special Functions, R. A. Askey, ed., Academic Press, New York, 1975, pp. 289-304. MR 0390322 (52:11148)
  • [4] P. Erdös and P. Turan, On interpolation. III, Ann. of Math. (2) 41 (1940), 510-553. MR 0001999 (1:333e)
  • [5] G. Freud, Orthogonal polynomials, Pergamon Press, New York, 1971. MR 0069326 (16:1020c)
  • [6] Ya. L. Geronimus, Orthogonal polynomials, Consultants Bureau, New York, 1961. MR 0133643 (24:A3469)
  • [7] U. Grenander and G. Szegö, Toeplitz forms and their applications, Univ. of California Press, Berkeley, Calif., 1958. MR 0094840 (20:1349)
  • [8] I. I. Hirschman, Jr., The strong Szegö limit theorem for Toeplitz determinants, Amer. J. Math. 88 (1966), 577-614. MR 0211182 (35:2064)
  • [9] P. G. Nevai, Orthogonal polynomials, Mem. Amer. Math. Soc., vol. 18, 1979. MR 519926 (80k:42025)
  • [10] G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ., vol. 23, Amer. Math. Soc., Providence, R. I., 1967.

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