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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.bc0j.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 29/8, 3/2, z] == (1/33825) (4 ((-(-9261 + 122613 z - 487176 z^2 + 829872 z^3 - 641600 z^4 + 185600 z^5)) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[(-(-1 + z)) z]) ((1073 - 41550 z + 295317 z^2 - 833512 z^3 + 1127472 z^4 - 734400 z^5 + 185600 z^6) 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