An integral relation for tensor polynomials (Q378508)
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scientific article; zbMATH DE number 6225665
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An integral relation for tensor polynomials |
scientific article; zbMATH DE number 6225665 |
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An integral relation for tensor polynomials (English)
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12 November 2013
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The authors prove two lemmas and one theorem that allow integrating the product of an arbitrary number of unit vectors and the Legendre polynomials over a sphere of arbitrary radius. Such integral tensor products appear in solving inhomogeneous Helmholtz equations whose right-hand side is proportional to the product of a nonfixed number of unit vectors.
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integral relations
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integral formulas
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Helmholtz equation
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tensor relation
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tensor Legendre polynomial
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Gegenbauer theorem
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pseudo-Riemannian geometry
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tensor product
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