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29 Lamé FunctionsLamé Functions29.2 Differential Equations
Figure 29.2.1 (See in context.)
\begin{picture}(10.0,8.0)(-5.0,-4.0)\put(0.0,-4.0){\line(0,1){8.0}}\put(-5.0,0%
.0){\line(1,0){10.0}}\put(-4.17,-3.15){$\times$}\put(-2.17,-3.15){$\times$}%
\put(-0.17,-3.15){$\times$}\put(1.83,-3.15){$\times$}\put(3.83,-3.15){$\times$%
}\put(-4.17,-1.15){$\times$}\put(-2.17,-1.15){$\times$}\put(-0.17,-1.15){$%
\times$}\put(1.83,-1.15){$\times$}\put(3.83,-1.15){$\times$}\put(-4.17,0.85){$%
\times$}\put(-2.17,0.85){$\times$}\put(-0.17,0.85){$\times$}\put(1.83,0.85){$%
\times$}\put(3.83,0.85){$\times$}\put(-4.17,2.85){$\times$}\put(-2.17,2.85){$%
\times$}\put(-0.17,2.85){$\times$}\put(1.83,2.85){$\times$}\put(3.83,2.85){$%
\times$}{\put(-4.0,0.0){\line(0,1){0.15}}\put(-2.0,0.0){\line(0,1){0.15}}\put(%
0.0,0.0){\line(0,1){0.15}}\put(2.0,0.0){\line(0,1){0.15}}\put(4.0,0.0){\line(0%
,1){0.15}}}{\put(0.0,-2.0){\line(1,0){0.15}}\put(0.0,2.0){\line(1,0){0.15}}}%
\put(0.1,0.1){0}\put(-1.5,-3.15){$-3\iunit\ccompellintKk@@{k}$}\put(-1.5,-2.15%
){$-2\iunit\ccompellintKk@@{k}$}\put(-1.3,-1.15){$-\iunit\ccompellintKk@@{k}$}%
\put(-0.9,0.85){$\iunit\ccompellintKk@@{k}$}\put(-1.1,1.85){$2\iunit%
\ccompellintKk@@{k}$}\put(-1.1,2.85){$3\iunit\ccompellintKk@@{k}$}\put(-4.6,-0%
.5){$-4\compellintKk@@{k}$}\put(-2.6,-0.5){$-2\compellintKk@@{k}$}\put(1.8,-0.%
5){$2\compellintKk@@{k}$}\put(3.8,-0.5){$4\compellintKk@@{k}$}\end{picture}
Figure 29.2.1: z-plane: singularities ××× of Lamé’s equation.