The evaluation of certain infinite integrals involving products of Bessel functions: A correlation of formula

Quarterly of Applied Mathematics

Volumn 55, Issue 3, 1997, Pages 505-524

  Hanson, Mark T ^a   Puja, Igusti W ^a  

^a UNIVERSITY OF KENTUCKY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; FUNCTIONS; NONLINEAR EQUATIONS;

BESSEL FUNCTIONS; ELLIPTIC INTEGRALS; INFINITE INTEGRALS; LEGENDRE FUNCTIONS;

INTEGRATION;

EID: 0031237173     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1466145     Document Type: Review

References (16)

1. P. F. Byrd and M. D. Friedman, Handbook of Elliptic Integrals for Engineers and Scientists, Springer-Verlag, 1971, pp. 13-14, 35-41, 249-250
2. G. Eason, B. Noble, and I. N. Sneddon, On certain integrals of Lipschitz-Hankel type, involving products of Bessel functions, Philos. Trans. Roy. Soc. London A247, 529-551 (1955)
3. A. Erdelyi, Tables of Integral Transforms, Vol. 2, McGraw-Hill, 1954, p. 50
4. V. I. Fabrikant, Applications of Potential Theory in Mechanics: a selection of new results, Kluwer Academic Publishers, The Netherlands, 1989, pp. 9-17
5. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, 1980, pp. 707, 904-909
6. M. T. Hanson and I. W. Puja, Love's circular patch problem revisited: Closed form solution for transverse isotropy and shear loading, Quart. Appl. Math. 54, 359-384 (1996)
7. H. Hasegawa, V. Lee, and T. Mura, Green's functions for axisymmetric problems of dissimilar elastic solids, ASME J. Appl. Mech. 59, S107-S114 (1992)
8. H. Hasegawa, V. Lee, and T. Mura, The stress fields caused by a circular cylindrical inclusion, ASME J. Appl. Mech. 59, 312-320 (1992)
9. C. Heuman, Tobles of complete elliptic integrals, Journal of Math. Phys., Vol. 20, 1941, pp. 127-206
10. A. E. H. Love, The stress produced in a semi-infinite solid by pressure on part of the boundary, Philos. Trans. Roy. Soc. London A228, 377-420 (1929)
11. R. Muki, Asymmetric problems of the theory of elasticity for a semi-infinite solid and a thick plate, Progress in Solid Mechanics (I. N. Sneddon and R. Hill, eds.), North Holland, Amsterdam, 1960, pp. 399-439
12. I. N. Sneddon, Fourier Transforms, McGraw-Hill, 1951, pp. 450-473
13. I. N. Sneddon, The Use of Integral Transforms, McGraw-Hill, 1972, pp. 325-352
14. M. R. Sura-Bura, Doklady Akad. Nauk S.S.S.R. (n.s.) 73, 901 (1950)
15. K. Terazawa, On the elastic equilibrium of a semi-infinite solid, J. College Sci., University of Tokyo, Vol. 37, article 7, 1916
16. G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, 1980, p. 358