On Lame's equation of a particular kind

Authors
Ivanov, P
Citation
P. Ivanov, On Lame's equation of a particular kind, J PHYS A, 34(39), 2001, pp. 8145-8150
Citations number
13
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
39
Year of publication
2001
Pages
8145 - 8150
Database
ISI
SICI code
0305-4470(20011005)34:39<8145:OLEOAP>2.0.ZU;2-8
Abstract
It is shown that Lame's equation d(2)/dz(2) X+kappa (2) cn(2) (z, 1/root2) X = 0 can be reduced to hyper-geometric equation. The characteristic expone nts of this equation are expressed in terms of elementary functions of the parameter kappa. An analytical condition for parametric amplification is ob tained.