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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=-3/8





http://functions.wolfram.com/07.23.03.b6il.01









  


  








Input Form





Hypergeometric2F1[-(45/8), -(3/8), 5/2, -z] == (1/(35689885 z^(3/2))) (16 ((-Sqrt[z]) (-41847 - 3345666 z + 7327278 z^2 + 1868736 z^3 + 851121 z^4 + 302778 z^5 + 68016 z^6 + 7072 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (1/Sqrt[1 + z]) (2 (-27898 - 767195 z + 2577863 z^2 + 4085858 z^3 + 1130212 z^4 + 497225 z^5 + 167951 z^6 + 35776 z^7 + 3536 z^8) 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