Bessel-function integrals needed for two classes of physics problems
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- by Charles E. McQueary and R. Mack, Lawrence PDF
- Math. Comp. 21 (1967), 413-417 Request permission
References
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L. R. Mack & C. E. McQueary, “Oscillations of a circular membrane on a nonlinear elastic foundation,” J. Accoust. Soc. Amer. (to appear).
- Lawrence R. Mack, Periodic, finite-amplitude, axisymmetric gravity waves, J. Geophys. Res. 67 (1962), 829–843. MR 135782, DOI 10.1029/JZ067i002p00829 C. E. McQueary & L. G. Clark, “Nonlinear periodic modes of oscillation of elastic continua,” J. Acoust. Soc. Amer. (to appear).
- G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746
- Henry E. Fettis, Lommel-type integrals involving three Bessel functions, J. Math. and Phys. 36 (1957), 88–95. MR 90121, DOI 10.1002/sapm195736188
- Lawrence R. Mack, Bessel-function identities needed for the theory of axisymmetric gravity waves, Math. Comp. 19 (1965), 654–657. MR 194624, DOI 10.1090/S0025-5718-1965-0194624-4 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.
- Milton Abramowitz and Irene A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D.C., 1964. For sale by the Superintendent of Documents. MR 0167642
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Math. Comp. 21 (1967), 413-417
- DOI: https://doi.org/10.1090/S0025-5718-67-99148-X