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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the largest zeroes of orthogonal polynomials for certain weights
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by D. S. Lubinsky and A. Sharif PDF
Math. Comp. 41 (1983), 199-202 Request permission

Abstract:

The asymptotic growth of the largest zero of the orthogonal polynomials for the weights $W(x) = |x{|^b}\exp ( - k|\log |x|{|^c})$ is investigated.
References
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  • Géza Freud, On the greatest zero of an orthogonal polynomial. I, Acta Sci. Math. (Szeged) 34 (1973), 91–97. MR 318761
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  • Paul G. Nevai and Jesús S. Dehesa, On asymptotic average properties of zeros of orthogonal polynomials, SIAM J. Math. Anal. 10 (1979), no. 6, 1184–1192. MR 547805, DOI 10.1137/0510107
  • F. W. J. Olver, Asymptotics and special functions, Computer Science and Applied Mathematics, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1974. MR 0435697
  • S. Wigert, "Sur les polynomes orthogonaux et l’approximation des fonctions continues," Ark. Mat. Astronom. Fysik, v. 17, 1923.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Math. Comp. 41 (1983), 199-202
  • MSC: Primary 42C05; Secondary 33A65
  • DOI: https://doi.org/10.1090/S0025-5718-1983-0701634-5
  • MathSciNet review: 701634