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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=3/8, b>=a > For fixed z and a=3/8, b=37/8





http://functions.wolfram.com/07.23.03.bz70.01









  


  








Input Form





Hypergeometric2F1[3/8, 37/8, -(9/2), -z] == (1/(623616 (1 + z)^(19/2))) (Sqrt[1 + z] (623616 + 6028288 z + 26474796 z^2 + 70535163 z^3 + 131946752 z^4 + 237082482 z^5 + 60508032 z^6 + 20148667 z^7 + 4389228 z^8 + 444912 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (467712 + 4589424 z + 20472811 z^2 + 55415375 z^3 + 105135730 z^4 + 265074862 z^5 + 70061519 z^6 + 22287667 z^7 + 4611684 z^8 + 444912 z^9) Sinh[(3 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