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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=45/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 45/8, -(9/2), -z] == (1/(7168 (1 + z)^(11/2))) ((-Sqrt[1 + z]) (-7168 + 3584 z - 4500 z^2 + 8661 z^3 - 28230 z^4 + 263109 z^5 + 2897956 z^6 + 7418800 z^7 + 8421120 z^8 + 4547840 z^9 + 957440 z^10) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-5376 + 1904 z - 2493 z^2 + 5409 z^3 - 19475 z^4 + 1159587 z^5 + 5801556 z^6 + 11120720 z^7 + 10575360 z^8 + 5026560 z^9 + 957440 z^10) 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