ANALYTICAL RESULTS FOR A CLASS OF SUMS INVOLVING BESSEL-FUNCTIONS ANDSQUARE ARRAYS

Authors
NICOROVICI NA POULTON CG MCPHEDRAN RC
Citation
Na. Nicorovici et al., ANALYTICAL RESULTS FOR A CLASS OF SUMS INVOLVING BESSEL-FUNCTIONS ANDSQUARE ARRAYS, Journal of mathematical physics, 37(4), 1996, pp. 2043-2052
Citations number
19
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
37
Issue
4
Year of publication
1996
Pages
2043 - 2052
Database
ISI
SICI code
0022-2488(1996)37:4<2043:ARFACO>2.0.ZU;2-K
Abstract
We consider a class of sums involving Bessel functions summed over the square array. The sums involve the length (xi) of an arbitrary vector lying within the central unit cell. We establish conditions under whi ch the sums reduce to polynomial forms in xi (possibly with a single l ogarithmic term in addition), and show how these polynomials may be co nveniently evaluated. (C) 1996 American Institute of Physics.