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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 purl?GDZPPN002145391.
- Basic_hypergeometric_series wikiPageExternalLink semi.pdf.
- 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 wikiPageLength "8680".
- Basic_hypergeometric_series wikiPageOutDegree "22".
- Basic_hypergeometric_series wikiPageRevisionID "704430720".
- Basic_hypergeometric_series wikiPageWikiLink American_Mathematical_Society.
- Basic_hypergeometric_series wikiPageWikiLink Barnes_integral.
- Basic_hypergeometric_series wikiPageWikiLink Bilateral_hypergeometric_series.
- Basic_hypergeometric_series wikiPageWikiLink Cambridge_University_Press.
- Basic_hypergeometric_series wikiPageWikiLink Category:Hypergeometric_functions.
- Basic_hypergeometric_series wikiPageWikiLink Category:Q-analogs.
- Basic_hypergeometric_series wikiPageWikiLink Eduard_Heine.
- Basic_hypergeometric_series wikiPageWikiLink Elliptic_hypergeometric_series.
- Basic_hypergeometric_series wikiPageWikiLink Formal_power_series.
- Basic_hypergeometric_series wikiPageWikiLink G._N._Watson.
- Basic_hypergeometric_series wikiPageWikiLink Generalized_hypergeometric_function.
- Basic_hypergeometric_series wikiPageWikiLink Heinrich_August_Rothe.
- Basic_hypergeometric_series wikiPageWikiLink Jacobi_triple_product.
- Basic_hypergeometric_series wikiPageWikiLink Ken_Ono.
- Basic_hypergeometric_series wikiPageWikiLink Mathematics.
- Basic_hypergeometric_series wikiPageWikiLink Q-Pochhammer_symbol.
- Basic_hypergeometric_series wikiPageWikiLink Q-analog.
- Basic_hypergeometric_series wikiPageWikiLink Q-exponential.
- Basic_hypergeometric_series wikiPageWikiLink Rational_function.
- Basic_hypergeometric_series wikiPageWikiLink Srinivasa_Ramanujan.
- Basic_hypergeometric_series wikiPageWikiLinkText "''q''-binomial theorem".
- Basic_hypergeometric_series wikiPageWikiLinkText "Basic hypergeometric series".
- Basic_hypergeometric_series wikiPageWikiLinkText "basic hypergeometric series".
- Basic_hypergeometric_series authorlink "Eduard Heine".
- Basic_hypergeometric_series first "Eduard".
- Basic_hypergeometric_series first "G. E.".
- 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 wikiPageUsesTemplate Template:Citation.
- Basic_hypergeometric_series wikiPageUsesTemplate Template:Dlmf.
- Basic_hypergeometric_series wikiPageUsesTemplate Template:Harvs.
- Basic_hypergeometric_series wikiPageUsesTemplate Template:Reflist.
- Basic_hypergeometric_series year "1846".
- Basic_hypergeometric_series subject Category:Hypergeometric_functions.
- Basic_hypergeometric_series subject Category:Q-analogs.
- Basic_hypergeometric_series type Type.
- Basic_hypergeometric_series type Combinatoric.
- Basic_hypergeometric_series type Function.
- Basic_hypergeometric_series type Type.
- 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 sameAs Q1062958.
- 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 Serie_hipergeometrică_fundamentală.
- Basic_hypergeometric_series sameAs Q1062958.
- Basic_hypergeometric_series sameAs 基本超几何函数.
- Basic_hypergeometric_series wasDerivedFrom Basic_hypergeometric_series?oldid=704430720.
- Basic_hypergeometric_series isPrimaryTopicOf Basic_hypergeometric_series.