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