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gfun[poltodiffeq] - determine the differential equation satisfied by a polynomial in holonomic functions
Calling Sequence
poltodiffeq(P, listdiffeq, list_unknowns, y(z))
Parameters
P
-
polynomial in z and y1(z), y2(z), ... and possibly their derivatives and repeated derivatives
listdiffeq
list containing, for each of y1(z), y2(z), ..., either a linear differential equation it satisfies or a set containing the equation together with initial conditions
list_unknowns
list of function names
y
name; holonomic function name
z
name; variable of the holonomic function y
Description
The poltodiffeq(P, listdiffeq, list_unknowns, y(z)) command returns a linear differential equation satisfied by the polynomial P.
If y1(z), y2(z), ... are holonomic function solutions of listdiffeq[1], listdiffeq[2], ..., the poltodiffeq function returns a linear differential equation satisfied by .
Examples
See Also
gfun, gfun[`diffeq+diffeq`], gfun[`diffeq*diffeq`], gfun[parameters], gfun[poltorec]
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