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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=-7/8, b>=a > For fixed z and a=-7/8, b=31/8





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 31/8, -(3/2), -z] == (1/(1104 (1 + z)^(9/2))) ((-Sqrt[1 + z]) (-1104 - 1955 z + 4830 z^2 + 12317 z^3 + 9724 z^4 + 2640 z^5) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-276 - 575 z + 9938 z^2 + 16849 z^3 + 11044 z^4 + 2640 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