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An indirect method for evaluating certain infinite integrals. (English) Zbl 0388.33006
33C10Bessel and Airy functions, cylinder functions, ${}_0F_1$
Full Text: DOI
[1] I. S. Gradshteyn andI. M. Ryzhik,Table of Integrals, Series, and Products (in Russian) Izd. Nauka, Moscow (1971).
[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). · Zbl 61.1177.05
[4] C. J. Tranter,Bessel Functions with Some Physical Applications, Hart Publ. Co. (1969). · Zbl 0183.32701
[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). · Zbl 0114.40801
[7] S. Timoshenko,Strength of Materials, Part II, 2nd Ed., D. Van Nostrand, New York (1954). · Zbl 0052.24604
[8] A. D. Kerr,Elastic and Viscoelastic Foundation Models, J. Appl. Mech.31, 1964. · Zbl 0134.44303
[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. · Zbl 0086.05902
[10] V. Panc,Theories of Elastic Plates, Noordhoff Int. Publ., Leyden (1975). · Zbl 0308.73032