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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=23/8





http://functions.wolfram.com/07.23.03.b5e4.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 23/8, 9/2, -z] == (256 (Sqrt[z] Sqrt[1 + z] (6970288 + 15247505 z - 19168292 z^2 + 1711551014 z^3 + 6882354644 z^4 + 12424439137 z^5 + 12638255080 z^6 + 7524531696 z^7 + 2461491648 z^8 + 343335168 z^9) Cosh[ArcSinh[Sqrt[z]]/4] - (27881152 + 80158312 z - 37029655 z^2 + 419959852 z^3 + 4155902726 z^4 + 11898311612 z^5 + 17943431913 z^6 + 16114292920 z^7 + 8712360624 z^8 + 2633159232 z^9 + 343335168 z^10) Sinh[ArcSinh[Sqrt[z]]/4]))/(407656386225 z^(7/2) Sqrt[1 + z])








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