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Exact potential functions in spherically stratified media

Published online by Cambridge University Press:  24 October 2008

B. S. Westcott
B. S. Westcott
Affiliation:
University of Southampton
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Abstract

A systematic analysis is made of the equation ∇. [k(r) ∇ψ] = 0 for useful profiles k(r) in spherically stratified media which enable the radial variation of the potential function ψ to be expressed exactly in terms of hypergeometric functions or confluent hypergeometric functions. Previously known profiles are shown to emerge as special cases of the present analysis.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 4 , October 1968 , pp. 1089 - 1098
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

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