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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=-47/8, b>=a > For fixed z and a=-47/8, b=-33/8





http://functions.wolfram.com/07.23.03.b4pm.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(33/8), 3/2, -z] == (1/18409461) (4 (-2 (-2322127 + 38344906 z - 120308685 z^2 + 98525372 z^3 - 19157241 z^4 + 268250 z^5 + 5365 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + (1/(Sqrt[z] Sqrt[1 + z])) ((-167555 + 8640904 z - 40709057 z^2 + 12884314 z^3 + 44356987 z^4 - 17513708 z^5 + 541865 z^6 + 10730 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