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Exact potential functions in spherically stratified media

Published online by Cambridge University Press:  24 October 2008

B. S. Westcott
Affiliation:
University of Southampton

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
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

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