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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.bcah.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 45/8, -(11/2), -z] == (1/(45056 (1 + z)^(13/2))) ((-Sqrt[1 + z]) (-45056 - 69888 z + 21728 z^2 - 20037 z^3 + 28161 z^4 - 67707 z^5 + 494819 z^6 + 4672212 z^7 + 10380880 z^8 + 10401280 z^9 + 5026560 z^10 + 957440 z^11) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-33792 - 57344 z + 11732 z^2 - 10071 z^3 + 15719 z^4 - 44009 z^5 + 2013225 z^6 + 8839252 z^7 + 15013040 z^8 + 12794880 z^9 + 5505280 z^10 + 957440 z^11) 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