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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 4 and fixed z > For fixed z and a=-19/4, b>=a > For fixed z and a=-19/4, b=-1/4





http://functions.wolfram.com/07.23.03.a9bq.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(1/4), 2, z] == (1/(504735 Pi Sqrt[1 + Sqrt[z]] z)) (8 ((4389 + 4389 Sqrt[z] + 182073 z + 182073 z^(3/2) + 15375 z^2 + 15375 z^(5/2) - 7029 z^3 - 7029 z^(7/2) + 2080 z^4 + 2080 z^(9/2) - 280 z^5 - 280 z^(11/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-4389 - 54792 z + 81714 z^2 - 33828 z^3 + 15035 z^4 - 4300 z^5 + 560 z^6) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))








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