DEtools
IsHyperexponential
test if a given expression is a hyperexponential function
Calling Sequence
Parameters
Description
Examples
IsHyperexponential(H, x)
H
-
Maple expression
x
variable
The IsHyperexponential(H,x) command returns true if H is a hyperexponential function of x. Otherwise, it returns false.
A function H is hyperexponential of x if ⅆⅆxHxHx=Rx, a rational function of x. Rx is the certificate of Hx. If the third optional argument is included, it is assigned the certificate Rx.
withDEtools:
H≔expInt2x−7x+42,xx6+16x5+103x4+327x3+647x2+737x+194x−12x+24x+42
H≔ⅇ∫2x−7x+42ⅆxx6+16x5+103x4+327x3+647x2+737x+194x−12x+24x+42
IsHyperexponentialH,x,R
true
R
−25x8+473x7+3748x6+16441x5+46985x4+87685x3+89797x2+40832x+17764x6+16x5+103x4+327x3+647x2+737x+194x+2x−1x+42
See Also
DEtools[AreSimilar]
DEtools[MultiplicativeDecomposition]
DEtools[ReduceHyperexp]
SumTools[Hypergeometric][IsHypergeometricTerm]
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