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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=-37/8, b>=a > For fixed z and a=-37/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 45/8, 9/2, z] == (1/(66281215 z^(7/2))) (256 ((-Sqrt[z]) (-48 - 335 z - 2486 z^2 - 300543 z^3 + 2110788 z^4 - 5463120 z^5 + 6767360 z^6 - 4069120 z^7 + 957440 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) ((64 + 392 z + 2931 z^2 + 52662 z^3 - 963237 z^4 + 4213348 z^5 - 8398000 z^6 + 8682240 z^7 - 4547840 z^8 + 957440 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