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XX.—Finite Hilbert Transform Technique for Triple Integral Equations with Trigonometric Kernels*

Published online by Cambridge University Press:  14 February 2012

K. N. Srivastava
Affiliation:
M. A. College of Technology, Bhopal, India
M. Lowengrub
Affiliation:
Department of Mathematics, Indiana University, Bloomington, Indiana†.

Extract

In this paper, we shall be concerned with an investigation of the solution of triple integral equations involving sine and cosine kernels. These type of equations arise in the study of certain two-dimensional mixed boundary value problems in infinite planes and infinitely long strips.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1970

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References

References to Literature

1.Cooke, J. C., 1963. Q. Jl Mech. Appl. Math., 16, 194.CrossRefGoogle Scholar
2.Cooke, J. C., 1963. Proc. Edinb. Math. Soc., 13, 317.CrossRefGoogle Scholar
3.Cooke, J. C., 1965. Q. Jl Mech. Appl. Math., 18, 57.CrossRefGoogle Scholar
4.Erdelyi, A., 1954. Tables of Integral Transforms, I. McGraw-Hill.Google Scholar
5.Gradshteyn, I. S., and Ryzhik, I. M., 1965. Tables of Integrals, Series, and Products. New York Academic Press.Google Scholar
6.Lebedev, N. N., and Ufliand, Ya. S., 1958. Prikl. Mat. Mekh., 22, 422.Google Scholar
7.Sneddon, I. N., 1966. Mixed Boundary Value Problems in Potential Theory. Amsterdam: North Holland Publishing Co.Google Scholar
8.Tranter, C. J., 1960. Proc. Glasg. Math. Ass., 4, 200.CrossRefGoogle Scholar
9.Tricomi, F. G., 1951. Q. Jl Math., 2, 199.CrossRefGoogle Scholar
10.Tricomi, F. G., 1957. Integral Equations. Interscience.Google Scholar