powseries - Maple Programming Help

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powseries

 powpoly
 create a formal power series from a polynomial

 Calling Sequence powpoly(poly, var)

Parameters

 poly - polynomial in var var - variable

Description

 • The function powpoly(poly, var) returns a formal power series equivalent to poly.
 • Thus, for all i, the ith coefficient of the power series returned is coeff(poly, var, i).
 • The command with(powseries,powpoly) allows the use of the abbreviated form of this command.

Examples

 > $\mathrm{with}\left(\mathrm{powseries}\right):$
 > $t≔\mathrm{powpoly}\left(2{x}^{5}+4{x}^{4}-x+5,x\right):$
 > $\mathrm{tpsform}\left(t,s,5\right)$
 ${5}{-}{s}{+}{4}{}{{s}}^{{4}}{+}{\mathrm{O}}\left({{s}}^{{5}}\right)$ (1)
 > $\mathrm{tpsform}\left(t,s,4\right)$
 ${5}{-}{s}{+}{\mathrm{O}}\left({{s}}^{{4}}\right)$ (2)