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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=29/8





http://functions.wolfram.com/07.23.03.bc0p.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 29/8, 7/2, z] == (1/(321208965 z^(5/2))) (64 ((-Sqrt[z]) (-12876 - 69745 z - 5919858 z^2 + 34947207 z^3 - 77591400 z^4 + 83988432 z^5 - 44798400 z^6 + 9465600 z^7) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) ((17168 + 78329 z + 1121285 z^2 - 17452701 z^3 + 65674503 z^4 - 114577416 z^5 + 105204432 z^6 - 49531200 z^7 + 9465600 z^8) 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