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An indirect method for evaluating certain infinite integrals. (English) Zbl 0388.33006
MSC:
33C10Bessel and Airy functions, cylinder functions, 0 F 1
References:
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[2]Y. L. Luke,Integrals of Bessel Functions, McGraw-Hill, New York (1965).
[3]N. W. McLachlan,Bessel Functions for Engineers, 2nd Ed., Oxford University Press, London (1955).
[4]C. J. Tranter,Bessel Functions with Some Physical Applications, Hart Publ. Co. (1969).
[5]G. G. Stokes,On the Critical Values of the Sums of Periodic Series, Trans. Cambridge Phil. Soc., Vol. VIII, Art. 48 and 49. Reprinted inMathematical and Physical Papers, Vol. 1, Johnson Reprint Corp., New York and London (1966).
[6]S. Timoshenko andWoinowsky-Krieger,Theory of Plates and Shells, 2nd Ed., McGraw-Hill, New York (1959).
[7]S. Timoshenko,Strength of Materials, Part II, 2nd Ed., D. Van Nostrand, New York (1954).
[8]A. D. Kerr,Elastic and Viscoelastic Foundation Models, J. Appl. Mech.31, 1964.
[9]Y. Y. Yu,On the Generalized ber, bei, ker, and kei Functions with Applications to Plate Problems, Quart. J. Mech. Appl. Math.,X, 1957.
[10]V. Panc,Theories of Elastic Plates, Noordhoff Int. Publ., Leyden (1975).