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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.bm08.01









  


  










Input Form





Hypergeometric2F1[-(21/8), 37/8, 7/2, -z] == (1/(1111715 z^(5/2))) (64 (4 Sqrt[z] (9 - 66 z + 5190 z^2 + 23460 z^3 + 31824 z^4 + 13600 z^5) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((48 - 311 z + 4217 z^2 + 55168 z^3 + 150688 z^4 + 154496 z^5 + 54400 z^6) 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