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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=-9/8





http://functions.wolfram.com/07.23.03.b4y3.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(9/8), 5/2, -z] == (1/(946465905 z^(3/2) Sqrt[1 + z])) (16 (Sqrt[z] Sqrt[1 + z] (33511 + 60446387 z - 168181862 z^2 + 20344230 z^3 + 4857595 z^4 + 1219463 z^5 + 214676 z^6 + 18480 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - (134044 + 5261227 z - 36235633 z^2 - 23052118 z^3 + 22633290 z^4 + 5441647 z^5 + 1324491 z^6 + 223916 z^7 + 18480 z^8) 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