Solving Equations Involving Power Series
| LogicalExpand[series1==series2] | give the equations obtained by equating corresponding coefficients in the power series |
| Solve[series1==series2,{a1,a2,...}] | solve for coefficients in power series |
Solving equations involving power series.
| Out[1]= |  |
This gives an equation involving the power series.
| Out[2]= |  |
LogicalExpand generates a sequence of equations for each power of
.
| Out[3]= |  |
This solves the equations for the coefficients
a[i]. You can also feed equations involving power series directly to
Solve.
| Out[4]= |  |
Some equations involving power series can also be solved using the
InverseSeries function discussed in
"Composition and Inversion of Power Series".
