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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=37/8





http://functions.wolfram.com/07.23.03.bc5e.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 37/8, -(5/2), -z] == (1/(320 (1 + z)^(5/2))) (-2 Sqrt[1 + z] (-160 + 1004 z - 6419 z^2 + 88655 z^3 + 1177216 z^4 + 3257200 z^5 + 3372800 z^6 + 1196800 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-240 + 1471 z - 9387 z^2 + 868326 z^3 + 4918032 z^4 + 9588000 z^5 + 7942400 z^6 + 2393600 z^7) 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