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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=15/8





http://functions.wolfram.com/07.23.03.btd6.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 15/8, -(9/2), -z] == (1/(3072 (1 + z)^(11/2))) ((-Sqrt[1 + z]) (-3072 - 14336 z - 25476 z^2 - 19853 z^3 - 3770 z^4 + 4147 z^5 + 1508 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-768 - 3824 z - 7387 z^2 - 6537 z^3 - 1885 z^4 + 4901 z^5 + 1508 z^6) 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