ExtendedGosper - Maple Help
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SumTools[Hypergeometric]

  

ExtendedGosper

  

perform extended Gosper's algorithm

 

Calling Sequence

Parameters

Description

Examples

References

Calling Sequence

ExtendedGosper(T, n)

Parameters

T

-

list or set of hypergeometric terms of n

n

-

variable

Description

• 

Let En be the shift operator with respect to n, defined by . For the given set (list)

  

where the  are hypergeometric terms of n, the ExtendedGosper(T,n) command returns a set (list)

  

of hypergeometric terms  such that

  

if each of the hypergeometric term  exists. Otherwise, the ExtendedGosper routine returns the error message ``no solution found''.

Examples

(1)

(2)

(3)

(4)

No solution found:

(5)

Error, (in SumTools:-Hypergeometric:-ExtendedGosper) no solution found

References

  

Petkovsek, M.; Wilf, H.; and Zeilberger, D. A=B. Wellesley, Massachusetts: A. K. Peters Ltd., 1996.

See Also

sumtools/extended_gosper

SumTools[Hypergeometric]

SumTools[Hypergeometric][Gosper]

 


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