recurrence

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recurrence

$\begin{usage} recurrence~L\\ recurrence~S \end{usage}$

$\begin{signatures} recurrence: & Rxy $\to$\ (Rxe, \htmlref{\texttt{Integer}}{I... ...ix}}{DenseMatrix} Rx, \htmlref{\texttt{Integer}}{Integer})\\\end{signatures}$

where
SYS == LinearOrdinaryFirstOrderSystem

$\begin{params} {\em L} & Rxy & A differential or difference operator\\ {\em S} & SYS Rx & A first order differential or difference system\\\end{params}$

$\begin{descr} recurrence(L) returns $(R = \sum_i a_i E^i, m)$such that for any ... ... (x-1) \dots (x-n+1)$\ when $L$\ or $S$\ is a recurrence operator.\end{descr}$

$\begin{remarks} Produces an error if $L$\ or $S$is neither a differential or recurrence operator. \end{remarks}$

Manuel Bronstein 2000-12-13