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- Basic_hypergeometric_series abstract "In mathematics, Heine's basic hypergeometric series, or hypergeometric q-series, are q-analog 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 rational function of qn, then the series is called a basic hypergeometric series. The number q is called the base. The basic hypergeometric series 2φ1(qα,qβ;qγ;q,x) was first considered by Eduard Heine (1846). It becomes the hypergeometric series F(α,β;γ;x) in the limit when the base q is 1.".
- Basic_hypergeometric_series wikiPageExternalLink semi.pdf.
- Basic_hypergeometric_series wikiPageExternalLink purl?GDZPPN002145391.
- Basic_hypergeometric_series wikiPageExternalLink bookstore?fn=20&arg1=survseries&ikey=SURV-27.
- Basic_hypergeometric_series wikiPageExternalLink 1psi1.pdf.
- Basic_hypergeometric_series wikiPageExternalLink 067.pdf.
- Basic_hypergeometric_series wikiPageID "2233526".
- Basic_hypergeometric_series wikiPageRevisionID "542551880".
- Basic_hypergeometric_series authorlink "Eduard Heine".
- Basic_hypergeometric_series first "Eduard".
- Basic_hypergeometric_series first "G. E.".
- Basic_hypergeometric_series hasPhotoCollection Basic_hypergeometric_series.
- Basic_hypergeometric_series id "17".
- Basic_hypergeometric_series last "Andrews".
- Basic_hypergeometric_series last "Heine".
- Basic_hypergeometric_series title "q-Hypergeometric and Related Functions".
- Basic_hypergeometric_series year "1846".
- Basic_hypergeometric_series subject Category:Hypergeometric_functions.
- Basic_hypergeometric_series subject Category:Q-analogs.
- Basic_hypergeometric_series type Abstraction100002137.
- Basic_hypergeometric_series type Function113783816.
- Basic_hypergeometric_series type HypergeometricFunctions.
- Basic_hypergeometric_series type MathematicalRelation113783581.
- Basic_hypergeometric_series type Relation100031921.
- Basic_hypergeometric_series comment "In mathematics, Heine's basic hypergeometric series, or hypergeometric q-series, are q-analog 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 rational function of qn, then the series is called a basic hypergeometric series. The number q is called the base.".
- Basic_hypergeometric_series label "Basic hypergeometric series".
- Basic_hypergeometric_series label "Q-serie ipergeometrica".
- Basic_hypergeometric_series label "Q超幾何級数".
- Basic_hypergeometric_series sameAs Q-serie_ipergeometrica.
- Basic_hypergeometric_series sameAs Q超幾何級数.
- Basic_hypergeometric_series sameAs m.06x_cn.
- Basic_hypergeometric_series sameAs Q1062958.
- Basic_hypergeometric_series sameAs Q1062958.
- Basic_hypergeometric_series sameAs Basic_hypergeometric_series.
- Basic_hypergeometric_series wasDerivedFrom Basic_hypergeometric_series?oldid=542551880.
- Basic_hypergeometric_series isPrimaryTopicOf Basic_hypergeometric_series.