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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.bha1.01









  


  








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) Cosh[(3 ArcSinh[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) Sinh[(3 ArcSinh[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