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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=-13/8, b>=a > For fixed z and a=-13/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 37/8, -(1/2), z] == (1/(812 (1 - z)^(7/2))) (Sqrt[1 - z] (812 + 9541 z - 106857 z^2 + 248856 z^3 - 221136 z^4 + 68544 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (609 + 43006 z - 207927 z^2 + 350856 z^3 - 255408 z^4 + 68544 z^5) 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