SumTools[Hypergeometric]
IsHypergeometricTerm
test if a given expression is a hypergeometric term
Calling Sequence
Parameters
Description
Examples
IsHypergeometricTerm(H, n, certificate)
H
-
function of n
n
variable
certificate
(optional) name; assigned the computed certificate
The IsHypergeometricTerm(H,n) command returns true if Hn is a hypergeometric term of n. Otherwise, it returns false.
A function H is hypergeometric of n if Hn+1Hn=Rn, a rational function of n. Rn is the certificate of Hn. If the third optional argument is included, it is assigned the certificate Rn.
withSumToolsHypergeometric:
H≔n2−13n+1!n+3!2n+7!
IsHypergeometricTermH,n,certificate
true
33n+23n+4nn+222n+9n+42n−1
See Also
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