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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=-39/8, b>=a > For fixed z and a=-39/8, b=23/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 23/8, -(9/2), -z] == (1/(107520 (1 + z)^(5/2))) (-4 Sqrt[1 + z] (-26880 + 29120 z - 37815 z^2 + 58476 z^3 - 121990 z^4 + 581020 z^5 + 2230448 z^6 + 1384416 z^7) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-26880 + 20720 z - 25145 z^2 + 40711 z^3 - 95040 z^4 + 6092768 z^5 + 11690624 z^6 + 5537664 z^7) Sinh[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