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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.


Monotonicity properties of the zeros of Freud and sub-range Freud polynomials: Analytic and empirical results
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by Walter Gautschi PDF
Math. Comp. 86 (2017), 855-864 Request permission


Freud and sub-range Freud polynomials are orthogonal with respect to the weight function $w(t)=|t|^\mu \exp (-|t|^\nu )$, $\mu >-1$, $\nu >0$, supported on the whole real line $\mathbb {R}$, resp. on strict subintervals thereof. The zeros of these polynomials are studied here as functions of $\nu$ and shown, analytically and empirically by computation, to collectively increase or decrease on appropriate intervals of the variable $\nu$.
  • Walter Gautschi, Orthogonal polynomials: computation and approximation, Numerical Mathematics and Scientific Computation, Oxford University Press, New York, 2004. Oxford Science Publications. MR 2061539
  • W. Gautschi, Orthogonal polynomials in Matlab: Exercises and solutions, Software, Environments, Tools, SIAM, Philadelphia, PA, 2016.
  • Gábor Szegő, Orthogonal polynomials, 4th ed., American Mathematical Society Colloquium Publications, Vol. XXIII, American Mathematical Society, Providence, R.I., 1975. MR 0372517
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Additional Information
  • Walter Gautschi
  • Affiliation: Department of Computer Science, Purdue University, West Lafayette, Indiana 47907-2066
  • MR Author ID: 71975
  • Email:
  • Received by editor(s): September 8, 2015
  • Published electronically: June 29, 2016
  • © Copyright 2016 American Mathematical Society
  • Journal: Math. Comp. 86 (2017), 855-864
  • MSC (2010): Primary 33C47, 33F05
  • DOI:
  • MathSciNet review: 3584551