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Closed formulas for the polyharmonic operator under spherical symmetry - MaRDI portal

Closed formulas for the polyharmonic operator under spherical symmetry (Q2344311)

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Closed formulas for the polyharmonic operator under spherical symmetry
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    Closed formulas for the polyharmonic operator under spherical symmetry (English)
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    13 May 2015
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    The author obtains various combinatorial identities for spherical symmetric functions \(u=u(|x|)\) in relation to the polyharmonic operator. These are natural extensions from the classical Laplace operator. The author extends such representation formulae to more general functionals involving the gradient.
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    polyharmonic operator
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    combinatorial formulae
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    spherical symmetric functions
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