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Tables of zeros of cross product Bessel functions

$\displaystyle J'_p(\xi) Y'_p(k\xi) - J'_p(k\xi) Y'_p(\xi) = 0.$


Author: Helmut F. Bauer
Journal: Math. Comp. 18 (1964), 128-135
MSC: Primary 33.25; Secondary 65.05
DOI: https://doi.org/10.1090/S0025-5718-1964-0158105-5
MathSciNet review: 0158105
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  • [2] R. Truell, ``Concerning the roots of $ {J'_n}\,\,(x)\,{N'_n}\,\,(kx) - {J'_n}\,\,(kx)\,{N'_n}(x) = 0$,'' J. Appl. Phys., v. 14, 1943, p. 350. MR 0008280 (4:274b)
  • [3] H. Buchholz, Besondere Reihenentwicklungen für eine häufig vorkommende zweireihige Determinante mit Zylinder-Funktionen und ihre Nullstellen, ZAMM v. 29, 1949, p. 356-367. MR 0033391 (11:434c)
  • [4] D. Kirkham, ``Graphs and formulas of zeros of cross product Bessel function,'' J. Math. Phys., v. 36, 1958, p. 371-377. MR 0093023 (19:1199a)
  • [5] J. F. Bridge & S. W. Angrist, ``An extended table of roots of $ {J'_n}\,\,(x)\,\,{Y'_n}(\beta x) - {J'_n}(\beta x)\,\,{Y'_n}(x) = 0$,'' Math. Comp., v. 16, 1962, p. 192. MR 0146417 (26:3939)
  • [6] G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, 1952, Section 8.42. MR 1349110 (96i:33010)

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DOI: https://doi.org/10.1090/S0025-5718-1964-0158105-5
Article copyright: © Copyright 1964 American Mathematical Society

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