Neumann series and lattice sums

Amer Inst Physics
Publication Type:
Journal article
Mcphedran Ross, Nicorovici Nicolae, and Botten Lindsay 2005, 'Neumann series and lattice sums', Amer Inst Physics, vol. 46, no. 8, pp. 083509-1-083509-14.
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We consider sums over the square lattice which depend only on radial distance, and provide formulas which enable sums of functions with Neumann series to be reexpressed as combinations of hypergeometric series. We illustrate the procedure using trigonome
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