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

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References | Additional Information

**[1]**L. R. Mack & C. E. McQueary, ``Oscillations of a circular membrane on a nonlinear elastic foundation,''*J. Accoust. Soc. Amer.*(to appear).**[2]**Lawrence R. Mack,*Periodic, finite-amplitude, axisymmetric gravity waves*, J. Geophys. Res.**67**(1962), 829–843. MR**0135782****[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*, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR**0010746****[5]**Henry E. Fettis,*Lommel-type integrals involving three Bessel functions*, J. Math. and Phys.**36**(1957), 88–95. MR**0090121**, https://doi.org/10.1002/sapm195736188**[6]**Lawrence R. Mack,*Bessel-function identities needed for the theory of axisymmetric gravity waves*, Math. Comp.**19**(1965), 654–657. MR**0194624**, https://doi.org/10.1090/S0025-5718-1965-0194624-4**[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]**Milton Abramowitz and Irene A. Stegun,*Handbook of mathematical functions with formulas, graphs, and mathematical tables*, National Bureau of Standards Applied Mathematics Series, vol. 55, For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C., 1964. MR**0167642**

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DOI:
https://doi.org/10.1090/S0025-5718-67-99148-X

Article copyright:
© Copyright 1967
American Mathematical Society