Neumann series and lattice sums

McPhedran, R; Nicorovici, N; Botten, L

Neumann series and lattice sums

McPhedran, R Nicorovici, N Botten, L

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Publisher:: Amer Inst Physics
Publication Type:: Journal Article
Citation:: 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.
Issue Date:: 2005

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Field	Value	Language
dc.contributor.author	McPhedran, R	en_US
dc.contributor.author	Nicorovici, N	en_US
dc.contributor.author	Botten, L	en_US
dc.date.accessioned	2009-12-21T02:27:58Z
dc.date.available	2009-12-21T02:27:58Z
dc.date.issued	2005	en_US
dc.identifier	2005000750	en_US
dc.identifier.citation	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.	en_US
dc.identifier.issn	0022-2488	en_US
dc.identifier.other	C1	en_US
dc.identifier.uri	http://hdl.handle.net/10453/3407
dc.description.abstract	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	en_US
dc.publisher	Amer Inst Physics	en_US
dc.relation.ispartof	Journal Of Mathematical Physics	en_US
dc.relation.ispartof	Verified OK	en_US
dc.subject	Greens-Function; Square Array	en_US
dc.subject.classification	Applied Mathematics	en_US
dc.title	Neumann series and lattice sums	en_US
dc.type	Journal article
utslib.citation.volume	46	en_US
utslib.citation.number	8	en_US
utslib.location	Melville, USA	en_US
utslib.citation.startpage	083509-1	en_US
utslib.citation.endpage	083509-14	en_US
utslib.identifier.org	SCI.Faculty of Science	en_US
utslib.for	020500	en_US
utslib.percentage	100	en_US
utslib.copyright.status	closed_access

Abstract:

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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http://hdl.handle.net/10453/3407