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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=-37/8, b>=a > For fixed z and a=-37/8, b=-27/8





http://functions.wolfram.com/07.23.03.bb9n.01









  


  










Input Form





Hypergeometric2F1[-(37/8), -(27/8), 11/2, -z] == (1024 (2 Sqrt[z] Sqrt[1 + z] (309024 + 6322116 z + 70428501 z^2 + 654367977 z^3 + 30632530333 z^4 - 132166236879 z^5 + 129885168279 z^6 - 34228525021 z^7 + 1682017623 z^8 + 9952767 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (824064 + 17562864 z + 202182171 z^2 + 1904852907 z^3 + 27612076617 z^4 - 156874399113 z^5 + 34859377451 z^6 + 153705057409 z^7 - 60567303757 z^8 + 3373988013 z^9 + 19905534 z^10) Sinh[(3 ArcSinh[Sqrt[z]])/4]))/(42669456604775 z^(9/2) Sqrt[1 + z])










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