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On the Solution of some Axisymmetric Boundary Value Problems by means of Integral Equations

VII. The Electrostatic Potential Due to a Spherical Cap Situated Inside a Circular Cylinder

Published online by Cambridge University Press:  20 January 2009

W. D. Collins
W. D. Collins
Affiliation:
Department of Mathematics, The University, Manchester
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This paper is a sequel to a previous paper (1) on axisymmetric potential problems for one or more circular disks situated inside a coaxial cylinder and applies the method used for these problems to the electrostatic potential problem for a perfectly conducting thin spherical cap situated inside an earthed coaxial infinitely long circular cylinder.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 13 , Issue 1 , June 1962 , pp. 13 - 23
Copyright
Copyright © Edinburgh Mathematical Society 1962

References

REFERENCES

(1) Collins, W. D., To be published.Google Scholar
(2) Collins, W. D., Quart. J. Mech. App. Math., 14 (1961), 101–117.Google Scholar
(3) Collins, W. D., Quart. J. Mech. App. Math., 12 (1959), 232–241.Google Scholar
(4) Collins, W. D., Mathematika, 6 (1959), 120–133.Google Scholar
(5) Collins, W. D., Proc. London Math. Soc., (3) 10 (1960), 428–460.CrossRefGoogle Scholar
(6) Collins, W. D., Proc. Edin. Math. Soc., (2) 12 (1960), 95–106.CrossRefGoogle Scholar
(7) Watson, G. N., Theory of Bessel Functions (Second Edition, Cambridge, 1944).Google Scholar
(8) Bateman, H., Partial Differential Equations of Mathematical Physics (Cambridge, 1932), 405–408.Google Scholar
(9) Smythe, W. R., J. App. Physics, 31 (1960), 553–556.Google Scholar
(10) Knight, R. C., Quart. J. Math., 7 (1936), 124–133.CrossRefGoogle Scholar