MultiplicativeDecomposition - Maple Help
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SumTools[Hypergeometric]

  

MultiplicativeDecomposition

  

construct the four minimal multiplicative decompositions of a hypergeometric term

 

Calling Sequence

Parameters

Description

Examples

References

Calling Sequence

MultiplicativeDecomposition[1](H, n, k)

MultiplicativeDecomposition[2](H, n, k)

MultiplicativeDecomposition[3](H, n, k)

MultiplicativeDecomposition[4](H, n, k)

Parameters

H

-

hypergeometric term of n

n

-

variable

k

-

name

Description

• 

Let H be a hypergeometric term of n. The MultiplicativeDecomposition[i](H,n,k) calling sequence constructs the ith minimal multiplicative decomposition of H of the form  where  are rational functions of n,  and  have minimal possible values, for .

  

If  then  is minimal.

  

If  then  is minimal.

  

If  then  is minimal, and  is minimal.

  

If  then  is minimal, and  is minimal.

  

If the MultiplicativeDecomposition command is called without an index, the first minimal multiplicative decomposition is constructed.

Examples

(1)

(2)

(3)

(4)

(5)

References

  

Abramov, S.A.; Le, H.Q.; and Petkovsek, M. "Rational Canonical Forms and Efficient Representations of Hypergeometric Terms." Proc. ISSAC 2003, pp. 7-14. 2003.

See Also

SumTools[Hypergeometric]

SumTools[Hypergeometric][EfficientRepresentation]

SumTools[Hypergeometric][RationalCanonicalForm]

SumTools[Hypergeometric][SumDecomposition]

 


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