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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=-21/8, b>=a > For fixed z and a=-21/8, b=37/8





http://functions.wolfram.com/07.23.03.bm0b.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 37/8, 9/2, -z] == (1/(23346015 z^(7/2))) (256 (Sqrt[z] (-240 + 679 z - 2457 z^2 + 112032 z^3 + 403104 z^4 + 450432 z^5 + 163200 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) (4 (-80 + 158 z - 623 z^2 + 6237 z^3 + 66870 z^4 + 151980 z^5 + 133008 z^6 + 40800 z^7) 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