Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

Bessel-function integrals needed for two classes of physics problems


Authors: Charles E. McQueary and R. Mack, Lawrence
Journal: Math. Comp. 21 (1967), 413-417
DOI: https://doi.org/10.1090/S0025-5718-67-99148-X
Full-text PDF Free Access

References | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] L. R. Mack & C. E. McQueary, ``Oscillations of a circular membrane on a nonlinear elastic foundation,'' J. Accoust. Soc. Amer. (to appear).
  • [2] L. R. Mack, ``Periodic, finite-amplitude, axisymmetric gravity waves,'' J. Geophys. Res., v. 67, 1962, pp. 829-843. MR 24 #B1824. MR 0135782 (24:B1824)
  • [3] C. E. McQueary & L. G. Clark, ``Nonlinear periodic modes of oscillation of elastic continua,'' J. Acoust. Soc. Amer. (to appear).
  • [4] G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed., Cambridge Univ. Press, Cambridge; Macmillan, New York, 1944. MR 6, 64. MR 0010746 (6:64a)
  • [5] H. E. Fettis, ``Lommel-type integrals involving three Bessel functions,'' J. Math. Phys., v. 36, 1957, pp. 88-95. MR 19, 771. MR 0090121 (19:771a)
  • [6] L. R. Mack, ``Bessel-function identities needed for the theory of axisymmetric gravity waves,'' Math. Comp., v. 19, 1965, pp. 654-657. MR 33 #2833. MR 0194624 (33:2833)
  • [7] S. A. Gill, ``A process for the step-by-step integration of differential equations in an automatic digital computing machine,'' Proc Cambridge Philos. Soc., v. 47, 1951, pp. 96-108. MR 12, 538.
  • [8] M. Abramowitz & I. A. Stegun, (Editors), Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Math. Series, No. 55, U. S. Government Printing Office, Washington, D. C., 1964; reprint 1965. MR 29 #4914; MR 31 #1400. MR 0167642 (29:4914)


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-67-99148-X
Article copyright: © Copyright 1967 American Mathematical Society

American Mathematical Society