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Value Distribution of Biaxially Symmetric Harmonic Polynomials

Published online by Cambridge University Press:  20 November 2018

J. D'Archangelo  and
P. A. McCoy
J. D'Archangelo
Affiliation:
United States Naval Academy, Annapolis, Maryland
P. A. McCoy
Affiliation:
United States Naval Academy, Annapolis, Maryland
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Consider the biaxially symmetric potential equation

where α, β > — 1/2. If 2α + 1 and 2 β + 1 are non-negative integers and if X corresponds to the hypercircle

then the biaxisymmetric Laplace equation in E2(α+ β+2),

and (1.1) are equivalent.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 4 , 01 August 1976 , pp. 769 - 773
Copyright
Copyright © Canadian Mathematical Society 1976

References

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