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Proceedings of the American Mathematical Society

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On a Bergman-Whittaker type operator in five or more variables


Author: Dean K. Kukral
Journal: Proc. Amer. Math. Soc. 39 (1973), 122-124
MSC: Primary 35C15; Secondary 35J05
DOI: https://doi.org/10.1090/S0002-9939-1973-0312055-7
MathSciNet review: 0312055
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Abstract: It is shown that there cannot exist a simple generating function for homogeneous harmonic polynomials in five or more variables similar to those known to exist for three and four variables. Thus there is no simple immediate generalization of the three dimensional Bergman-Whittaker operator (and Gilbert's four dimensional operator) to five or more dimensions.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0312055-7
Article copyright: © Copyright 1973 American Mathematical Society