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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=-29/8, b>=a > For fixed z and a=-29/8, b=37/8





http://functions.wolfram.com/07.23.03.bh4l.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 37/8, -(5/2), z] == (1/(320 (1 - z)^(7/2))) (Sqrt[1 - z] (320 + 1096 z + 4725 z^2 + 48699 z^3 - 527544 z^4 + 1206864 z^5 - 1060800 z^6 + 326400 z^7) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (240 + 787 z + 3402 z^2 + 215163 z^3 - 1018776 z^4 + 1696464 z^5 - 1224000 z^6 + 326400 z^7) 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