LinearOrdinaryDifferentialOperatorSeriesSolutions

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LinearOrdinaryDifferentialOperatorSeriesSolutions

$\begin{usage} import from LinearOrdinaryDifferentialOperatorSeriesSolutions(R, F, $\iota$, RX, RXD, Fx) \end{usage}$

$\begin{params} {\em R} & \htmlref{\texttt{IntegralDomain}}{IntegralDomain} & A... ...ory}}{UnivariateTaylorSeriesCategory} F & A series type over F\\\end{params}$

$\begin{descr} LinearOrdinaryDifferentialOperatorSeriesSolutions(R, F, $\iota$, ... ...al operators with polynomial coefficients around an ordinary point. \end{descr}$

Exports

fundamentalMatrix: (RXD, R) $\to$ DenseMatrix Fx fundamental solution matrix

kernel: (RXD, R) $\to$ Vector Fx all the series solutions

solution: (RXD, R) $\to$ Vector F $\to$ Fx $\to$ Fx solve an initial value problem

Subsections

fundamentalMatrix
kernel
solution

Manuel Bronstein 2000-12-13

`fundamentalMatrix`:	(RXD, R) $\to$ `DenseMatrix` Fx	fundamental solution matrix
`kernel`:	(RXD, R) $\to$ `Vector` Fx	all the series solutions
`solution`:	(RXD, R) $\to$ `Vector` F $\to$ Fx $\to$ Fx	solve an initial value problem