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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.bc01.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 29/8, -(9/2), z] == -((1/(64512 (1 - z)^(7/2))) (Sqrt[1 - z] (-64512 - 28672 z - 29780 z^2 - 42903 z^3 - 94941 z^4 - 556920 z^5 + 3850704 z^6 - 4977600 z^7 + 1893120 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (-48384 - 14448 z - 14789 z^2 - 23814 z^3 - 60669 z^4 - 1978392 z^5 + 6102864 z^6 - 5924160 z^7 + 1893120 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