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Two dimensional mixed boundary-value problems in a wedge-shaped region

Published online by Cambridge University Press:  24 October 2008

W. E. Williams
W. E. Williams
Affiliation:
Department of Mathematics, University of Surrey
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Extract

In a recent paper Srivastav (2) considered the solution of certain two-dimensional mixed boundary-value problems in a wedge-shaped region. The problems were formulated as dual integral equations involving Mellin transforms and were reduced to the solution of a Fredholm integral equation of the second kind. In this paper it will be shown that a closed form solution to the problems treated in (2) may be obtained by elementary means.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 2 , April 1968 , pp. 503 - 505
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)Carleman, T.Math. Z. 15 (1922), 111–122.CrossRefGoogle Scholar
(2)Srivastav, R. P.Proc. Edinburgh Math. Soc. 14 (1965), 321–332.CrossRefGoogle Scholar
(3)Williams, W. E.Proc. Cambridge Philos. Soc. 59 (1963), 589–597.CrossRefGoogle Scholar