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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=-17/8





http://functions.wolfram.com/07.23.03.b4va.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(17/8), 11/2, -z] == (1024 (-4 Sqrt[z] Sqrt[1 + z] (-3753232 - 73121002 z - 766128482 z^2 - 6574958733 z^3 - 3158862742862 z^4 + 7485800100921 z^5 - 3371566901208 z^6 + 110144391021 z^7 + 7640122674 z^8 + 583987761 z^9 + 26273478 z^10) Cosh[ArcSinh[Sqrt[z]]/4] + (-60051712 - 1211221584 z - 13057460617 z^2 - 113533156807 z^3 - 1486586933293 z^4 + 5761046612677 z^5 + 1871635047285 z^6 - 4848231174093 z^7 + 455572383921 z^8 + 31715329479 z^9 + 2388498000 z^10 + 105093912 z^11) Sinh[ArcSinh[Sqrt[z]]/4]))/ (12576404675444775 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