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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-29/8, b>=a > For fixed z and a=-29/8, b=45/8





http://functions.wolfram.com/07.23.03.bha0.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 45/8, -(7/2), z] == -((1/(66304 (1 - z)^(11/2))) (Sqrt[1 - z] (-66304 - 36112 z - 54427 z^2 - 153180 z^3 - 1317015 z^4 + 13987566 z^5 - 34889712 z^6 + 38866080 z^7 - 20693760 z^8 + 4308480 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + 2 Sqrt[z] (-24864 - 9916 z - 16169 z^2 - 51615 z^3 - 2844087 z^4 + 13849611 z^5 - 26002656 z^6 + 24337200 z^7 - 11424000 z^8 + 2154240 z^9) Sin[(3 ArcSin[Sqrt[z]])/4]))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02