A functional operator in Maple is a special form of a function. See operators/functional or refer to the Functional Operators section of the Maple Expressions chapter of the Maple Programming Guide for a full description of functional operators.

The call type(f, operator) returns true if f is a functional operator, and false otherwise.

$f≔x\→3x\+5$

$f≔x\mapsto 3\cdot x+5$

$\mathrm{type}\left(f\,\mathrm{operator}\right)$

$\mathrm{true}$

$g≔\left(x\,y\right)\→\sin \left(x\right)\cos \left(y\right)\+xy$

$g≔\left(x\,y\right)\mapsto \sin \left(x\right)\cdot \cos \left(y\right)+y\cdot x$

$\mathrm{type}\left(g\,\mathrm{operator}\right)$

$\mathrm{true}$

p := proc(x) option operator; x^3-5 end proc;

$p≔\mathbf{proc}\left(x\right)\mathbf{option}\mathrm{operator}\;x^3-5\mathbf{end\; proc}$

$\mathrm{type}\left(p\,\mathrm{operator}\right)$

$\mathrm{true}$

q := proc(x) x^3-5 end proc;

$q≔\mathbf{proc}\left(x\right)x\^3-5\mathbf{end\; proc}$

$\mathrm{type}\left(q\,\mathrm{operator}\right)$

$\mathrm{false}$