%0 Journal Article
%T On Lame's equation of a particular kind
%A Pavel Ivanov
%J Physics
%D 2000
%I arXiv
%R 10.1088/0305-4470/34/39/313
%X It is shown that the Lame's equation ${d^{2}\over d z^{2}}X+\kappa^{2} cn^{2}(z, {1\over \sqrt 2})X=0$ can be reduced to the hyper-geometric equation. The characteristic exponents of this equation are expressed in terms of elementary functions of the parameter $\kappa$. An analytical condition for parametric amplification is obtained.
%U http://arxiv.org/abs/math-ph/0008008v2