Digital Library of Mathematical Functions
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29 Lamé FunctionsLamé Functions29.2 Differential Equations

Figure 29.2.1 (See in context.)

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\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){$-3\iunit\!\DUAL[ATOM]{\CompEllIntCK@{k}}{\mathop{{K^{\prime}%
}\/}\nolimits}\!$}
\put(-1.5,-2.15){$-2\iunit\!\DUAL[ATOM]{\CompEllIntCK@{k}}{\mathop{{K^{\prime}%
}\/}\nolimits}\!$}
\put(-1.3,-1.15){$-\iunit\!\DUAL[ATOM]{\CompEllIntCK@{k}}{\mathop{{K^{\prime}}%
\/}\nolimits}\!$}
\put(-0.9,0.85){$\iunit\!\DUAL[ATOM]{\CompEllIntCK@{k}}{\mathop{{K^{\prime}}\/%
}\nolimits}\!$}
\put(-1.1,1.85){$2\iunit\!\DUAL[ATOM]{\CompEllIntCK@{k}}{\mathop{{K^{\prime}}%
\/}\nolimits}\!$}
\put(-1.1,2.85){$3\iunit\!\DUAL[ATOM]{\CompEllIntCK@{k}}{\mathop{{K^{\prime}}%
\/}\nolimits}\!$}
\put(-4.6,-0.5){$-4\!\DUAL[ATOM]{\CompEllIntK@{k}}{\mathop{K\/}\nolimits}\!$}
\put(-2.6,-0.5){$-2\!\DUAL[ATOM]{\CompEllIntK@{k}}{\mathop{K\/}\nolimits}\!$}
\put(1.8,-0.5){$2\!\DUAL[ATOM]{\CompEllIntK@{k}}{\mathop{K\/}\nolimits}\!$}
\put(3.8,-0.5){$4\!\DUAL[ATOM]{\CompEllIntK@{k}}{\mathop{K\/}\nolimits}\!$}
\end{picture}
Figure 29.2.1: z-plane: singularities ××× of Lamé’s equation.