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The evaluation of one family of triple integrals - MaRDI portal

The evaluation of one family of triple integrals (Q1311539)

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scientific article; zbMATH DE number 486828
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The evaluation of one family of triple integrals
scientific article; zbMATH DE number 486828

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    The evaluation of one family of triple integrals (English)
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    3 March 1994
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    The paper is devoted to the computation of the lattice Green function \(G(l,m,n)\) (the random-walk potential on a body-centered cubic lattice). The authors give new recurrence relations for \(G(l,m,n)\) and present an algorithm for finding the value of \(G(l,m,n)\) at any fixed point in terms of \(G(0,0,0)\). A new simple algorithm for direct calculation of \(G(0,0,0)\) is also constructed.
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    triple integrals
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    lattice Green function
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    random-walk potential
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    body- centered cubic lattice
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    recurrence relations
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    algorithm
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