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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=37/8





http://functions.wolfram.com/07.23.03.bc5v.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 37/8, 7/2, z] == (1/(35689885 z^(5/2))) (64 (-2 Sqrt[z] (-222 - 2257 z - 321888 z^2 + 2383791 z^3 - 6404784 z^4 + 8153200 z^5 - 5004800 z^6 + 1196800 z^7) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) ((592 + 5513 z + 109668 z^2 - 2119971 z^3 + 9666166 z^4 - 19861168 z^5 + 21012000 z^6 - 11206400 z^7 + 2393600 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