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Green's functions for polynomials in the Laplacian

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Abstract

A Green's function is constructed for an arbitrary polynomial in theN-dimensional Laplacian operator, subject only to the condition that no root of the polynomial may be real and negative.

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References

  1. L. Stakgold,Boundary Value Problems of Mathematical Physics, Vol. II (Section 5.8), Macmillan, New York 1968.

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  3. A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi,Higher Transcendental Functions, Vol. II, McGraw-Hill, New York 1953.

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Authors and Affiliations

  1. Dept of Applied Mathematical Studies, University of Leeds, LS2 9JT, Leeds, UK

    J. B. Boyling

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  1. J. B. Boyling
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Boyling, J.B. Green's functions for polynomials in the Laplacian. Z. angew. Math. Phys. 47, 485–492 (1996). https://doi.org/10.1007/BF00916651

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  • DOI: https://doi.org/10.1007/BF00916651

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