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





http://functions.wolfram.com/07.23.03.b79x.01









  


  










Input Form





Hypergeometric2F1[-(45/8), 45/8, -(3/2), -z] == (1/(16 (1 + z)^(3/2))) (Sqrt[1 + z] (16 - 317 z + 9912 z^2 + 248024 z^3 + 1327616 z^4 + 2846976 z^5 + 2680832 z^6 + 923648 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] - 4 Sqrt[z] (3 - 59 z + 16611 z^2 + 171858 z^3 + 618432 z^4 + 1017984 z^5 + 785664 z^6 + 230912 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