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Gosper's algorithm

In mathematics, Gosper's algorithm, due to Bill Gosper, is a procedure for finding sums of hypergeometric terms that are themselves hypergeometric terms. That is: suppose one has a(1) + ... + a(n) = S(n) − S(0), where S(n) is a hypergeometric term (i.e., S(n + 1)/S(n) is a rational function of n); then necessarily a(n) is itself a hypergeometric term…

History, Definite versus indefinite summation & Relationship to Wilf–Zeilberger pairs

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History

MacsymaSAILMIT
3 related topics

Definite versus indefinite summation

Zeilberger's algorithmPetkovšek's algorithm
2 related topics

Relationship to Wilf–Zeilberger pairs

Wilf–Zeilberger pairs
1 related topics

Overview

MathematicsBill GosperHypergeometric termsRational function
4 related topics

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Overview

Relationship to Wilf–Zeilberger pairs

Definite versus indefinite summation

History

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Gosper's algorithm

Nodes15
Edges14
Triples13
Avg. degree1.87
Density0.133333
Components1

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Gosper's algorithm

Top relations

related to Relationship to Wilf–Zeilberger pairs · 7
Gosper's algorithm → Gosper's, If, Suppose, Then, Treat, Wilf, Zeilberger
related to Definite versus indefinite summation · 6
Gosper's algorithm → Gosper's, It, Petkovšek's, So, Then Zeilberger's, This

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Important terminology

algorithm gosper's hypergeometric form closed bill gosper suppose rational function finds indefinite mathematics find polynomial functions sum 75 procedure finding

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SubjectPredicateObjectConfidenceSrc
Gosper's algorithmrelated to Definite versus indefinite summationGosper's0.60section
Gosper's algorithmrelated to Definite versus indefinite summationIt0.60section
Gosper's algorithmrelated to Definite versus indefinite summationThis0.60section
Gosper's algorithmrelated to Definite versus indefinite summationSo0.60section
Gosper's algorithmrelated to Definite versus indefinite summationThen Zeilberger's0.60section
Gosper's algorithmrelated to Definite versus indefinite summationPetkovšek's0.60section
Gosper's algorithmrelated to Relationship to Wilf–Zeilberger pairsGosper's0.60section
Gosper's algorithmrelated to Relationship to Wilf–Zeilberger pairsWilf0.60section
Gosper's algorithmrelated to Relationship to Wilf–Zeilberger pairsZeilberger0.60section
Gosper's algorithmrelated to Relationship to Wilf–Zeilberger pairsSuppose0.60section
Gosper's algorithmrelated to Relationship to Wilf–Zeilberger pairsThen0.60section
Gosper's algorithmrelated to Relationship to Wilf–Zeilberger pairsTreat0.60section

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