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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=-29/8, b>=a > For fixed z and a=-29/8, b=37/8





http://functions.wolfram.com/07.23.03.bh4f.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 37/8, -(9/2), -z] == (1/(9216 (1 + z)^(11/2))) (Sqrt[1 + z] (9216 + 14336 z - 4532 z^2 + 4415 z^3 - 7470 z^4 + 38007 z^5 + 270504 z^6 + 430032 z^7 + 277440 z^8 + 65280 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (6912 + 11760 z - 2461 z^2 + 2285 z^3 - 4455 z^4 + 134295 z^5 + 454920 z^6 + 560592 z^7 + 310080 z^8 + 65280 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