test if two hypergeometric terms are similar - Maple Help

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SumTools[Hypergeometric][AreSimilar] - test if two hypergeometric terms are similar

Calling Sequence

AreSimilar(S, T, n)

Parameters

S

-

hypergeometric term of n

T

-

hypergeometric term of n

n

-

variable

Description

• 

The AreSimilar(S,T,n) command returns true if Sn and Tn are similar. Otherwise, it returns false.

  

Two hypergeometric terms Sn and Tn are similar if their ratio is a rational function of n.

Examples

withSumTools[Hypergeometric]:

S1:=n2;S2:=2n;T:=1

S1:=n2

S2:=2n

T:=1

(1)

AreSimilarS1,T,n

true

(2)

AreSimilarS2,T,n

false

(3)

T1:=13n+1!n+3!2n+7!

T1:=3n+1!n+3!2n+7!

(4)

T2:=n213n+1!n+3!2n+7!

T2:=n213n+1!n+3!2n+7!

(5)

AreSimilarT1,T2,n

true

(6)

See Also

SumTools[Hypergeometric], SumTools[Hypergeometric][IsHypergeometricTerm]


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