Digital Library of Mathematical Functions
About the Project
NIST
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){$-3\iunit\!\DUAL[ATOM]{\CompEllIntCK@{k}}{\mathop{{K^{{\prime% }}}\/}\nolimits}\!$} \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 \times\times\times of Lamé’s equation.
© 2010–2013 NIST / Privacy Policy / Disclaimer / Feedback; Version 1.0.6; Release date 2013-05-06 Math-Image version (See MathML) . A Printed Companionis available.