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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=-47/8, b>=a > For fixed z and a=-47/8, b=47/8





http://functions.wolfram.com/07.23.03.b5t5.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 47/8, 3/2, -z] == (1/2193) (4 (4 (140 + 3359 z + 23506 z^2 + 71616 z^3 + 107392 z^4 + 78080 z^5 + 22016 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - (1/(Sqrt[z] Sqrt[1 + z])) ((47 + 3383 z + 41696 z^2 + 199640 z^3 + 467712 z^4 + 574720 z^5 + 356352 z^6 + 88064 z^7) Sinh[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