The FunctionAdvisor(plot math_function) command displays 2-D and 3-D plots illustrating math_function following, where possible, the NIST Digital Library of Mathematical Functions.

The 3-D plots displayed by FunctionAdvisor(plot math_function) involve three kinds of plot structures. First there are the standard 3-D plots you can construct using plot3d, used for instance for some functions of many arguments provided that the function is real for real values of its arguments. Second, there are 3-D plots constructed using plots:-complexplot3d, where the vertical axis represent the absolute value of the function and the two horizontal axes represent the Real and Imaginary parts of the main plotting complex variable. Finally, some plots are obtained using plots:-plotcompare with the option expression_plot, appropriate to illustrate branch cuts.

After displaying the plots on the screen, the actual value returned by FunctionAdvisor(plot math_function) is NULL. You can get the plots structures themselves in two different ways: right-click the plot, copy, then paste into an input region, or use MathematicalFunctions:-Get(plot, math_function) as shown in the last example.

$\mathrm{FunctionAdvisor}\left(\mathrm{plot}\,\ln \right)$

$\mathrm{FunctionAdvisor}\left(\mathrm{plot}\,\mathrm{Ei}\right)$

$\mathrm{FunctionAdvisor}\left(\mathrm{plot}\,\mathrm{\Gamma }\right)$

$\mathrm{FunctionAdvisor}\left(\mathrm{plot}\,\mathrm{JacobiSN}\right)$

$\mathrm{FunctionAdvisor}\left(\mathrm{plot}\,\mathrm{hypergeom}\right)$

$\mathrm{plots\_hypergeom}≔\mathrm{MathematicalFunctions}:-\mathrm{Get}\left(\mathrm{plot}\,\mathrm{hypergeom}\right)$

$\mathrm{plots\_hypergeom}≔\left[?\right],\left[?\right]$

$\mathrm{plots\_hypergeom}\left[1\right]\left[2\right]$

$\mathrm{plots}:-\mathrm{display}\left(\mathrm{plots\_hypergeom}\left[1\right]\left[2\right]\,\mathrm{overrideoptions}\,\mathrm{color}=''Blue''\,\mathrm{axes}=\mathrm{boxed}\,\mathrm{scaling}=\mathrm{constrained}\,\mathrm{title}=''2F1\; hypergeometric\; function''\right)$

The FunctionAdvisor/plot command was introduced in Maple 2016.

For more information on Maple 2016 changes, see Updates in Maple 2016.