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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Evaluation of the zeros of cross-product Bessel functions


Authors: L. Jackson Laslett and William Lewish
Journal: Math. Comp. 16 (1962), 226-232
MSC: Primary 33.25
MathSciNet review: 0146416
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  • [1] James Mcmahon, On the roots of the Bessel and certain related functions, Ann. of Math. 9 (1894/95), no. 1-6, 23–30. MR 1502177, http://dx.doi.org/10.2307/1967501
  • [2] A. Kalähne, ``Über 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)].
  • [3] William Marshall, On a new method of computing the roots of Bessel’s functions, Ann. of Math. (2) 11 (1910), no. 4, 153–160. MR 1502404, http://dx.doi.org/10.2307/1967132
  • [4] Rohn Truell, Concerning the roots of 𝐽_{𝑛′}(𝑥)𝑁_{𝑛′}(𝑘𝑥)-𝐽_{𝑛′}(𝑘𝑥)𝑁_{𝑛′}(𝑥)=0, J. Appl. Phys. 14 (1943), 350–352. MR 0008280 (4,274b)
  • [5] Don Kirkham, Graphs and formulas for zeros of cross product Bessel functions, J. Math. and Phys. 36 (1958), 371–377. MR 0093023 (19,1199a)
  • [6] W. N. Wong, Electromagnetic Fields in a Donut Space, Midwestern Universities Research Association Report, MURA-555, Madison, Wisconsin, 1960.
  • [7] L. I. Schiff, Quantum Mechanics, Second Edition, McGraw-Hill Book Co., Inc., New York, 1955, p. 151-4.
  • [8] Nat. Bur. Standards, Tables of Bessel Functions of Fractional Order, v. I and II, Columbia University Press, New York, 1948-9.
  • [9] G. N. Watson, Theory of Bessel Functions, Second Edition, Cambridge University Press and Macmillan Co., New York, 1948.
  • [10] Eugene Jahnke and Fritz Emde, Tables of Functions with Formulae and Curves, Dover Publications, New York, N. Y., 1945. 4th ed. MR 0015900 (7,485b)
  • [11] 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 0039374 (12,538g)
  • [12] 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.
  • [13] 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

DOI: http://dx.doi.org/10.1090/S0025-5718-1962-0146416-7
PII: S 0025-5718(1962)0146416-7
Article copyright: © Copyright 1962 American Mathematical Society