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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 3 and fixed z > For fixed z and a=-17/3, b>=a > For fixed z and a=-17/3, b=-7/3





http://functions.wolfram.com/07.23.03.4632.01









  


  










Input Form





Hypergeometric2F1[-(17/3), -(7/3), 11/2, -z] == -((6561 (Sqrt[z] (37158912 + 750649344 z + 8142520320 z^2 + 71869923328 z^3 - 4988760132653 z^4 + 4705093546905 z^5 + 6321534648926 z^6 - 3399307223080 z^7 + 39815481792 z^8 + 2460792448 z^9 + 98011648 z^10) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-111476736 - 2218917888 z - 23784783872 z^2 - 208845930496 z^3 - 2862331265024 z^4 + 21759383733263 z^5 - 24888247073882 z^6 + 5736909530792 z^7 + 38621839936 z^8 + 2411786624 z^9 + 98011648 z^10) Sinh[ArcSinh[Sqrt[z]]/3]))/ (39120021629013325 z^(9/2) 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