An integral relation for tensor polynomials |
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Authors: | P A Vshivtseva V I Denisov I P Denisova |
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Institution: | (1) Duke University, Durham, NC, USA;(2) Radboud University Nijmegen, Nijmegen, The Netherlands; |
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Abstract: | We 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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