Display(p,d) displays the power series p in the style given by d. The argument d is a list of equations which contains either  maxterms=n or precision=m, or both. In those equations n and m are of type either nonnegint or infinity.

If d is not provided, then the display style of p is taken from an earlier call of the form SetDisplayStyle(p,d), if any. Otherwise, the display style of p is taken from an earlier call of the form SetDefaultDisplayStyle(d), if any. Finally, if the given display style does not provide values for one (or both) of the settings, Maple uses the default values maxterms=50 and precision=infinity.

The attribute maxterms sets the maximum number of terms of p to be displayed while the the attribute precision sets the maximum degree of the displayed terms.

Using infinity for either n or m indicates that no limits for the number of terms, or their degree, is set.

Display(u,d) displays the coefficients of the univariate polynomial over power series u in in the style given by d.  The argument d can take the same entries as for Display(p, d), but additionally, the option maxdegree=n can be used: it limits the maximum degree  of a displayed term with respect to the main variable of u only. Like for power series, Display uses d if provided; or otherwise the argument to an earlier call to SetDisplayStyle(u, d), if any; or otherwise the argument to SetDefaultDisplayStyle(d), if any; or finally, the same default values maxterms=50 and precision=infinity and additionally maxdegree=infinity.

The limit on the number of terms enforced by the maxterms option is enforced for all terms of the coefficients of u together, the terms of the coefficient power series are not counted independently. Only nonzero terms are counted.

The command Display will only ever display coefficients that were computed before; it does not cause computation of further coefficients.

When using the MultivariatePowerSeries package, do not assign anything to the variables occurring in the power series, Puiseux series, and univariate polynomials over these series. If you do, you may see invalid results.

$\mathrm{with}\left(\mathrm{MultivariatePowerSeries}\right)\:$

$a≔\mathrm{GeometricSeries}\left(\left[x\,y\right]\right)$

$a≔\left[\mathrm{Pow\ⅇrS\ⅇri\ⅇs\; of}\frac{1}{1-x-y}\mathrm{:}1+x+y+\mathrm{\dots }\right]$

$\mathrm{Display}\left(a\right)$

$\left[\mathrm{Pow\ⅇrS\ⅇri\ⅇs\; of}\frac{1}{1-x-y}\mathrm{:}1+x+y+\mathrm{\dots }\right]$

$\mathrm{UpdatePrecision}\left(a\,10\right)$

$\left[\mathrm{Pow\ⅇrS\ⅇri\ⅇs\; of}\frac{1}{1-x-y}\mathrm{:}1+x+y+x^2+2xy+y^2+x^3+3x^{2}y+3x{y}^2+y^3+x^4+4x^{3}y+6x^2{y}^2+4x{y}^3+y^4+x^5+5x^{4}y+10x^3{y}^2+10x^2{y}^3+5x{y}^4+y^5+x^6+6x^{5}y+15x^4{y}^2+20x^3{y}^3+15x^2{y}^4+6x{y}^5+y^6+x^7+7x^{6}y+21x^5{y}^2+35x^4{y}^3+35x^3{y}^4+21x^2{y}^5+7x{y}^6+y^7+x^8+8x^{7}y+28x^6{y}^2+56x^5{y}^3+70x^4{y}^4+56x^3{y}^5+28x^2{y}^6+8x{y}^7+y^8+\left(x^9+9x^{8}y+36x^7{y}^2+84x^6{y}^3+126x^5{y}^4+\mathrm{\dots }\right)+\mathrm{\dots }\right]$

$\mathrm{Display}\left(a\,\left[\mathrm{maxterms}=20\,\mathrm{precision}=5\right]\right)$

$\left[\mathrm{Pow\ⅇrS\ⅇri\ⅇs\; of}\frac{1}{1-x-y}\mathrm{:}1+x+y+x^2+2xy+y^2+x^3+3x^{2}y+3x{y}^2+y^3+x^4+4x^{3}y+6x^2{y}^2+4x{y}^3+y^4+\left(x^5+5x^{4}y+10x^3{y}^2+10x^2{y}^3+5x{y}^4+\mathrm{\dots }\right)+\mathrm{\dots }\right]$

$\mathrm{Display}\left(a\,\left[\mathrm{precision}=5\right]\right)$

$\left[\mathrm{Pow\ⅇrS\ⅇri\ⅇs\; of}\frac{1}{1-x-y}\mathrm{:}1+x+y+x^2+2xy+y^2+x^3+3x^{2}y+3x{y}^2+y^3+x^4+4x^{3}y+6x^2{y}^2+4x{y}^3+y^4+x^5+5x^{4}y+10x^3{y}^2+10x^2{y}^3+5x{y}^4+y^5+\mathrm{\dots }\right]$

$\mathrm{Display}\left(a\,\left[\mathrm{maxterms}=\mathrm{\infty }\,\mathrm{precision}=\mathrm{\infty }\right]\right)$

$\left[\mathrm{Pow\ⅇrS\ⅇri\ⅇs\; of}\frac{1}{1-x-y}\mathrm{:}1+x+y+x^2+2xy+y^2+x^3+3x^{2}y+3x{y}^2+y^3+x^4+4x^{3}y+6x^2{y}^2+4x{y}^3+y^4+x^5+5x^{4}y+10x^3{y}^2+10x^2{y}^3+5x{y}^4+y^5+x^6+6x^{5}y+15x^4{y}^2+20x^3{y}^3+15x^2{y}^4+6x{y}^5+y^6+x^7+7x^{6}y+21x^5{y}^2+35x^4{y}^3+35x^3{y}^4+21x^2{y}^5+7x{y}^6+y^7+x^8+8x^{7}y+28x^6{y}^2+56x^5{y}^3+70x^4{y}^4+56x^3{y}^5+28x^2{y}^6+8x{y}^7+y^8+x^9+9x^{8}y+36x^7{y}^2+84x^6{y}^3+126x^5{y}^4+126x^4{y}^5+84x^3{y}^6+36x^2{y}^7+9x{y}^8+y^9+x^{10}+10x^{9}y+45x^8{y}^2+120x^7{y}^3+210x^6{y}^4+252x^5{y}^5+210x^4{y}^6+120x^3{y}^7+45x^2{y}^8+10x{y}^9+y^{10}+\mathrm{\dots }\right]$

$f≔\mathrm{UnivariatePolynomialOverPowerSeries}\left(\left[\mathrm{SumOfAllMonomials}\left(\left[x\right]\right)\,\mathrm{GeometricSeries}\left(\left[x\,y\right]\right)\right]\,z\right)\:$

$\mathrm{Display}\left(f\right)$

$\left[\mathrm{Univariat\ⅇPolynomialOv\ⅇrPow\ⅇrS\ⅇri\ⅇs:}\left(1+x+\mathrm{\dots }\right)\mathrm{+}\left(1+x+y+\mathrm{\dots }\right)z\right]$

$\mathrm{UpdatePrecision}\left(f\,10\right)\:$

$\mathrm{Display}\left(f\right)$

$\left[\mathrm{Univariat\ⅇPolynomialOv\ⅇrPow\ⅇrS\ⅇri\ⅇs:}\left(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^{10}+\mathrm{\dots }\right)\mathrm{+}\left(1+x+y+x^2+2xy+y^2+x^3+3x^{2}y+3x{y}^2+y^3+x^4+4x^{3}y+6x^2{y}^2+4x{y}^3+y^4+x^5+5x^{4}y+10x^3{y}^2+10x^2{y}^3+5x{y}^4+y^5+x^6+6x^{5}y+15x^4{y}^2+20x^3{y}^3+15x^2{y}^4+6x{y}^5+y^6+x^7+7x^{6}y+21x^5{y}^2+35x^4{y}^3+35x^3{y}^4+21x^2{y}^5+7x{y}^6+y^7+\left(x^8+8x^{7}y+28x^6{y}^2+\mathrm{\dots }\right)+\mathrm{\dots }\right)z\right]$

$\mathrm{Display}\left(f\,\left[\mathrm{maxdegree}=0\,\mathrm{precision}=5\right]\right)$

$\left[\mathrm{Univariat\ⅇPolynomialOv\ⅇrPow\ⅇrS\ⅇri\ⅇs:}\left(1+x+x^2+x^3+x^4+x^5+\mathrm{\dots }\right)\mathrm{+}\mathrm{\dots }\right]$

$\mathrm{SetDisplayStyle}\left(f\,\left[\mathrm{maxterms}=5\right]\right)$

$\left[\mathrm{maxterms}=5\right]$

$\mathrm{Display}\left(f\right)$

$\left[\mathrm{Univariat\ⅇPolynomialOv\ⅇrPow\ⅇrS\ⅇri\ⅇs:}\left(1+x+x^2+x^3+x^4+\mathrm{\dots }\right)\mathrm{+}\mathrm{\dots }\right]$

The MultivariatePowerSeries[Display] command was introduced in Maple 2021.

For more information on Maple 2021 changes, see Updates in Maple 2021.