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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=-29/8, b>=a > For fixed z and a=-29/8, b=45/8





http://functions.wolfram.com/07.23.03.bh9t.01









  


  










Input Form





Hypergeometric2F1[-(29/8), 45/8, -(11/2), -z] == (1/(1667072 (1 + z)^(15/2))) (Sqrt[1 + z] (1667072 + 5957888 z + 5097120 z^2 - 1273947 z^3 + 1111665 z^4 - 1742811 z^5 + 8621851 z^6 + 64424050 z^7 + 118271856 z^8 + 101007200 z^9 + 42540800 z^10 + 7180800 z^11) Cosh[(3 ArcSinh[Sqrt[z]])/4] - 2 Sqrt[z] (625152 + 2325376 z + 2180262 z^2 - 361971 z^3 + 287120 z^4 - 511266 z^5 + 15448722 z^6 + 56656189 z^7 + 81953328 z^8 + 60690000 z^9 + 23065600 z^10 + 3590400 z^11) Sinh[(3 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