Solving Equations Involving Power Series
LogicalExpand[series1 series2] | give the equations obtained by equating corresponding coefficients in the power series |
| Solve[series1series2,{a1,a2,...}] |
| solve for coefficients in power series |
Solving equations involving power series.
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This gives an equation involving the power series.
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LogicalExpand generates a sequence of equations for each power of x.
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This solves the equations for the coefficients a[i]. You can also feed equations involving power series directly to Solve.
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Some equations involving power series can also be solved using the
InverseSeries function discussed in
"Composition and Inversion of Power Series".
