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On certain triple integral equations with trigonometric kernels

Published online by Cambridge University Press:  18 May 2009

D. C. Stocks
D. C. Stocks
Affiliation:
Royal Military, College of Science, Shrivenham
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In this note we formally solve the following triple integral equations,

where f1(x), f2(x) and f3(x) are integrable for 0<x<α, α<x<β and β<x<∞, respectively, and the function g(λ) is assumed to satisfy sufficient conditions for the Fourier sine transform to exist. A special case of this system arose in a problem concerned with transistors.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 17 , Issue 2 , July 1976 , pp. 103 - 105
Copyright
Copyright © Glasgow Mathematical Journal Trust 1976

References

REFERENCES

1.Gradshteyn, I. S. and Ryzhik, I. W., Tables and integrals, series and products (Academic Press, 1965).Google Scholar
2.Parihar, K. S., Some triple trigonometrical series equations and their application, Proc. Roy. Soc. Edinburgh Sect. A, 69 (1971), 255–265.Google Scholar
3.Sneddon, I. N., Mixed boundary value problems in potential theory (North-Holland, 1966).Google Scholar
4.Whittaker, E. T. and Watson, G. N., A course of modern analysis (Cambridge, 1958).Google Scholar