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29 Lamé FunctionsLamé Functions29.2 Differential Equations
Figure 29.2.1 (See in context.) Magnify
\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. Magnify