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gfun[invborel] - compute the inverse Borel transform of a generating function
Calling Sequence
invborel(expr, a(n), t)
Parameters
expr
-
linear recurrence with polynomial coefficients
a
name; recurrence name
n
name; index of the recurrence a
t
(optional) name; 'diffeq'
Description
The invborel(expr, a(n)) command computes the inverse Borel transform of a generating function.
If is the sequence of numbers defined by the recurrence expr, the invborel function computes the recurrence for the numbers .
If t is specified as 'diffeq', expr is considered a linear differential equation with polynomial coefficients. The function returns a linear differential equation satisfied by its inverse Borel transform.
Laplace can be used as a synonym of invborel, that is, the Laplace(expr, a(n)) command can be used instead.
Examples
See Also
gfun, gfun[borel], gfun[Laplace], gfun[rectodiffeq]
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