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Transformations of Axes for Whittaker's Solution of Laplace's Equation
Published online by Cambridge University Press: 20 January 2009
Extract
Whittaker has shown that a general solution of Laplace's equation, ∇2V = 0, may be expressed in the form
Since the harmonic property of a function is in no way dependent upon any particular set of axes it follows that the same solution must be capable of being expressed in the form
where X, Y, Z are any second set of rectangular coordinates.
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- Copyright © Edinburgh Mathematical Society 1917
References
* Whittaker, and Watson, , Modern Analysis, p. 3.Google Scholar
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