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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.

 

Evaluation of the zeros of cross-product Bessel functions
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by L. Jackson Laslett and William Lewish PDF
Math. Comp. 16 (1962), 226-232 Request permission
References
  • James Mcmahon, On the roots of the Bessel and certain related functions, Ann. of Math. 9 (1894/95), no.Β 1-6, 23–30. MR 1502177, DOI 10.2307/1967501
  • A. KalΓ€hne, β€œΓœber die Wurzeln einiger Zylinderfunktionen und gewisser aus ihnen gebildeter Gleichungen,” Z. Math. Phys., v. 54, 1907, p. 55-86. Some of the results of this reference are given by Jahnke & Emde [10 (Sect. VIII)].
  • William Marshall, On a new method of computing the roots of Bessel’s functions, Ann. of Math. (2) 11 (1910), no.Β 4, 153–160. MR 1502404, DOI 10.2307/1967132
  • Rohn Truell, Concerning the roots of $J_{n^{\prime }}(x)N_{n^{\prime }}(kx)-J_{n^{\prime }}(kx)N_{n^{\prime }}(x)=0$, J. Appl. Phys. 14 (1943), 350–352. MR 8280
  • Don Kirkham, Graphs and formulas for zeros of cross product Bessel functions, J. Math. and Phys. 36 (1958), 371–377. MR 93023, DOI 10.1002/sapm1957361371
  • W. N. Wong, Electromagnetic Fields in a Donut Space, Midwestern Universities Research Association Report, MURA-555, Madison, Wisconsin, 1960. L. I. Schiff, Quantum Mechanics, Second Edition, McGraw-Hill Book Co., Inc., New York, 1955, p. 151-4. Nat. Bur. Standards, Tables of Bessel Functions of Fractional Order, v. I and II, Columbia University Press, New York, 1948-9. G. N. Watson, Theory of Bessel Functions, Second Edition, Cambridge University Press and Macmillan Co., New York, 1948.
  • Eugene Jahnke and Fritz Emde, Tables of Functions with Formulae and Curves, Dover Publications, New York, N.Y., 1945. 4th ed. MR 0015900
  • S. Gill, A process for the step-by-step integration of differential equations in an automatic digital computing machine, Proc. Cambridge Philos. Soc. 47 (1951), 96–108. MR 39374
  • D. J. Wheeler, Solution of a System of Ordinary Differential Equations, University of Illinois Computer Laboratory subroutine F 1-114, University of Illinois, Urbana, 1953. L. Jackson Laslett & William Lewish, Evaluation of the Zeros of Cross Product Bessel Functions, Ames Laboratory Report IS-189, Iowa State University, Ames, Iowa, 1960.
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Additional Information
  • © Copyright 1962 American Mathematical Society
  • Journal: Math. Comp. 16 (1962), 226-232
  • MSC: Primary 33.25
  • DOI: https://doi.org/10.1090/S0025-5718-1962-0146416-7
  • MathSciNet review: 0146416