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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=-11/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), -(11/8), 7/2, z] == (1/(365266335 z^(5/2))) (64 (Sqrt[z] (13572 - 213759 z + 8856232 z^2 + 23062310 z^3 + 6861912 z^4 - 255967 z^5 + 14260 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((-18096 + 300469 z - 4441437 z^2 - 14195370 z^3 + 11615158 z^4 + 6988113 z^5 - 263097 z^6 + 14260 z^7) 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