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IsHyperexponential

  

test if a given expression is a hyperexponential function

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

IsHyperexponential(H, x)

Parameters

H

-

Maple expression

x

-

variable

Description

• 

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.

Examples

withDEtools:

Hⅇ∫2x7x+42ⅆxx6+16x5+103x4+327x3+647x2+737x+194x12x+24x+42

H:=ⅇ∫2x7x+42ⅆxx6+16x5+103x4+327x3+647x2+737x+194x12x+24x+42

(1)

IsHyperexponentialH,x,'R'

true

(2)

R

25x8+473x7+3748x6+16441x5+46985x4+87685x3+89797x2+40832x+17764x6+16x5+103x4+327x3+647x2+737x+194x+2x1x+42

(3)

See Also

DEtools[AreSimilar]

DEtools[MultiplicativeDecomposition]

DEtools[ReduceHyperexp]

SumTools[Hypergeometric][IsHypergeometricTerm]

 


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