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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=39/8





http://functions.wolfram.com/07.23.03.b5o4.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 39/8, 9/2, -z] == (256 (Sqrt[z] Sqrt[1 + z] (-9776 + 51935 z - 342771 z^2 + 111762497 z^3 + 755431127 z^4 + 2065489316 z^5 + 2964606480 z^6 + 2368194048 z^7 + 1001113344 z^8 + 175279104 z^9) Cosh[ArcSinh[Sqrt[z]]/4] - (-39104 + 180856 z - 1225055 z^2 + 21446711 z^3 + 347851823 z^4 + 1531298901 z^5 + 3307491044 z^6 + 4034519280 z^7 + 2846840832 z^8 + 1088752896 z^9 + 175279104 z^10) Sinh[ArcSinh[Sqrt[z]]/4]))/ (27177092415 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