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Value distribution of
linear combinations of axisymmetric harmonic polynomials and
their derivatives
Peter A. McCoy |
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Vol. 48 (1973), No. 2, 441–450
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Abstract |
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In this paper the geometry of the value distribution of linear combinations of axisymmetric harmonic polynomials (AHP) and their derivatives is studied using the Bergman integral operator method and methods from the analytic theory of polynomials. For a given AHP, zero free cones in E3 can be determined which are stationary for specified classes of these linear combinations in the sense that the given AHP describes cones which have an empty intersection with the level sets of all linear combinations from each class. |
Mathematical Subject Classification 2000
Primary: 31A05
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Milestones
Received: 11 July 1972
Published: 1 October 1973
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Authors |
| Peter A. McCoy | |
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