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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=-31/8, b>=a > For fixed z and a=-31/8, b=31/8





http://functions.wolfram.com/07.23.03.bfj1.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 31/8, -(3/2), -z] == (1/(48 (1 + z)^(3/2))) (Sqrt[1 + z] (48 - 431 z + 6240 z^2 + 62624 z^3 + 121600 z^4 + 65664 z^5) Cosh[ArcSinh[Sqrt[z]]/4] - 4 Sqrt[z] (3 - 26 z + 6614 z^2 + 28804 z^3 + 38608 z^4 + 16416 z^5) Sinh[ArcSinh[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