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Basic hypergeometric series

In mathematics, basic hypergeometric series, or q-hypergeometric series, are q-analogue generalizations of generalized hypergeometric series, and are in turn generalized by elliptic hypergeometric series. A series xn is called hypergeometric if the ratio of successive terms xn+1/xn is a rational function of n. If the ratio of successive terms is a…

Measurement, The q-binomial theorem & Ramanujan's identity

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Definition

The q-binomial theorem

Ramanujan's identity

Watson's contour integral

Matrix version

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Basic hypergeometric series

Nodes29
Edges28
Triples80
Avg. degree1.93
Density0.068966
Components1

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Basic hypergeometric series

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related to References · 77
Basic hypergeometric series → American Mathematical Society, Amy Fu, Andrews, Anwendung, Applications, Askey, Bailey, Basic, Berlin, Bilateral Basic Hypergeometric Series, Boisvert, Cambridge, Cambridge Tracts, Cambridge University Press, Charles, Chen, Chichester, Clark, Combinatorics, Corteel
related to Definition · 2
Basic hypergeometric series → The, There
is a · 1
Basic hypergeometric series → q-analog of the hypergeometric series since lim q

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series hypergeometric basic displaystyle called function isbn mathematics university press q-hypergeometric ratio terms alpha beta gamma q-binomial theorem identity contour

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SubjectPredicateObjectConfidenceSrc
Basic hypergeometric seriesis aq-analog of the hypergeometric series since lim q0.90text
Basic hypergeometric seriesrelated to DefinitionThere0.60section
Basic hypergeometric seriesrelated to DefinitionThe0.60section
Basic hypergeometric seriesrelated to ReferencesAndrews0.60section
Basic hypergeometric seriesrelated to ReferencesHypergeometric0.60section
Basic hypergeometric seriesrelated to ReferencesRelated Functions0.60section
Basic hypergeometric seriesrelated to ReferencesOlver0.60section
Basic hypergeometric seriesrelated to ReferencesFrank0.60section
Basic hypergeometric seriesrelated to ReferencesLozier0.60section
Basic hypergeometric seriesrelated to ReferencesDaniel0.60section
Basic hypergeometric seriesrelated to ReferencesBoisvert0.60section
Basic hypergeometric seriesrelated to ReferencesRonald0.60section

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