Skip to Main Content

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 Bessel functions and rate of convergence of zeros of Lommel polynomials
HTML articles powered by AMS MathViewer

by P. Feinsilver and R. Schott PDF
Math. Comp. 59 (1992), 153-156 Request permission


In this note, we solve an open problem of Flajolet and Schott concerning the rate of convergence of the zeros of Lommel polynomials to the zeros of a Bessel function (considered as a function of the order). The average case analysis of dynamic data structures was the initial motivation for this investigation. The Maple program, whose results are reported at the end, illustrates that our result is quite good.
    J. Coulomb, Sur les zéros des fonctions de Bessel considérées comme fonction de l’ordre, Bull. Sci. Math. 60 (1936), 297-302.
  • Philippe Flajolet and René Schott, Nonoverlapping partitions, continued fractions, Bessel functions and a divergent series, European J. Combin. 11 (1990), no. 5, 421–432. MR 1075531, DOI 10.1016/S0195-6698(13)80025-X
  • G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1995. Reprint of the second (1944) edition. MR 1349110
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC: 33C10, 33C45
  • Retrieve articles in all journals with MSC: 33C10, 33C45
Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Math. Comp. 59 (1992), 153-156
  • MSC: Primary 33C10; Secondary 33C45
  • DOI:
  • MathSciNet review: 1134728