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Title: Cayley's Hypergeometric Function Theorem -- from Wolfram MathWorld

Open Graph Title: Cayley's Hypergeometric Function Theorem -- from Wolfram MathWorld

X Title: Cayley's Hypergeometric Function Theorem -- from Wolfram MathWorld

Description: If (1-z)^(a+b-c)_2F_1(2a,2b;2c;z)=sum_(n=0)^inftya_nz^n, then where (a)_n is a Pochhammer symbol and _2F_1(a,b;c;z) is a hypergeometric function.

Open Graph Description: If (1-z)^(a+b-c)_2F_1(2a,2b;2c;z)=sum_(n=0)^inftya_nz^n, then where (a)_n is a Pochhammer symbol and _2F_1(a,b;c;z) is a hypergeometric function.

X Description: If (1-z)^(a+b-c)_2F_1(2a,2b;2c;z)=sum_(n=0)^inftya_nz^n, then where (a)_n is a Pochhammer symbol and _2F_1(a,b;c;z) is a hypergeometric function.

Opengraph URL: https://mathworld.wolfram.com/CayleysHypergeometricFunctionTheorem.html

X: @WolframResearch

direct link

Domain: mathworld.wolfram.com

DC.TitleCayley's Hypergeometric Function Theorem
DC.CreatorWeisstein, Eric W.
DC.DescriptionIf (1-z)^(a+b-c)_2F_1(2a,2b;2c;z)=sum_(n=0)^inftya_nz^n, then where (a)_n is a Pochhammer symbol and _2F_1(a,b;c;z) is a hypergeometric function.
DC.Subject33C05
DC.RightsCopyright 1999-2026 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement.
DC.Formattext/html
DC.Identifierhttps://mathworld.wolfram.com/CayleysHypergeometricFunctionTheorem.html
DC.Languageen
DC.PublisherWolfram Research, Inc.
DC.Relation.IsPartOfhttps://mathworld.wolfram.com/
DC.TypeText
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og:typewebsite
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