series - Maple Help
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VectorCalculus

 series
 map the top-level series function over a Vector

 Calling Sequence series(f, v)

Parameters

 f - Vector or algebraic expression v - expression sequence of other arguments to pass to the top-level series function

Description

 • The series(f, v) command maps the top-level series function over the components of the Vector f.  If f is not a Vector, the arguments are passed to the top-level series function.

Examples

 > $\mathrm{with}\left(\mathrm{VectorCalculus}\right):$
 > $\mathrm{series}\left(⟨\mathrm{sin}\left(t\right),\mathrm{exp}\left(t\right)⟩,t=0\right)$
 > $\mathrm{series}\left(⟨\frac{\mathrm{sin}\left(t\right)}{t},\frac{1-\mathrm{cos}\left(t\right)}{t}⟩,t=0\right)$
 > $\mathrm{series}\left(\mathrm{log}\left(1+z\right),z\right)$
 ${z}{-}\frac{{1}}{{2}}{}{{z}}^{{2}}{+}\frac{{1}}{{3}}{}{{z}}^{{3}}{-}\frac{{1}}{{4}}{}{{z}}^{{4}}{+}\frac{{1}}{{5}}{}{{z}}^{{5}}{+}{O}{}\left({{z}}^{{6}}\right)$ (1)

 See Also