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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=41/8, b>=a > For fixed z and a=41/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[41/8, 47/8, 9/2, z] == (1/(7090785 (-1 + z)^6 z^(7/2))) (256 (Sqrt[z] (80 - 591 z + 2217 z^2 + 18523 z^3 + 1275 z^4) Cos[ArcSin[Sqrt[z]]/4] + ((-320 + 2584 z - 10467 z^2 + 42617 z^3 + 50327 z^4 + 1275 z^5) Sin[ArcSin[Sqrt[z]]/4])/Sqrt[1 - z]))








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