(maxima.info)Functions and Variables for ggf
61.1 Functions and Variables for ggf
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-- Option variable: GGFINFINITY
Default value: 3
This is an option variable for function 'ggf'.
When computing the continued fraction of the generating function, a
partial quotient having a degree (strictly) greater than
<GGFINFINITY> will be discarded and the current convergent will be
considered as the exact value of the generating function; most
often the degree of all partial quotients will be 0 or 1; if you
use a greater value, then you should give enough terms in order to
make the computation accurate enough.
See also 'ggf'.
-- Option variable: GGFCFMAX
Default value: 3
This is an option variable for function 'ggf'.
When computing the continued fraction of the generating function,
if no good result has been found (see the <GGFINFINITY> flag) after
having computed <GGFCFMAX> partial quotients, the generating
function will be considered as not being a fraction of two
polynomials and the function will exit. Put freely a greater value
for more complicated generating functions.
See also 'ggf'.
-- Function: ggf (<l>)
Compute the generating function (if it is a fraction of two
polynomials) of a sequence, its first terms being given. <l> is a
list of numbers.
The solution is returned as a fraction of two polynomials. If no
solution has been found, it returns with 'done'.
This function is controlled by global variables <GGFINFINITY> and
<GGFCFMAX>. See also <GGFINFINITY> and <GGFCFMAX>.
To use this function write first 'load("ggf")'.
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