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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=9/8, b>=a > For fixed z and a=9/8, b=47/8





http://functions.wolfram.com/07.23.03.c2uw.01









  


  








Input Form





Hypergeometric2F1[9/8, 47/8, -(3/2), -z] == (1/(11408 (1 + z)^(17/2))) ((-Sqrt[1 + z]) (-11408 - 141887 z - 1460224 z^2 + 1864534 z^3 + 682124 z^4 + 241409 z^5 + 56364 z^6 + 6160 z^7) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-2852 - 36363 z - 9248880 z^2 + 2178702 z^3 + 796168 z^4 + 268821 z^5 + 59444 z^6 + 6160 z^7) 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