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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.a9bt.01









  


  










Input Form





Hypergeometric2F1[-(19/4), -(1/4), 5/2, -z] == (2 Sqrt[2] (-418 - 9196 z + 49380 z^2 + 4648 z^3 + 1814 z^4 + 468 z^5 + 56 z^6 - (-418 - 9405 z + 15828 z^2 + 33362 z^3 + 11962 z^4 + 4323 z^5 + 1020 z^6 + 112 z^7)/Sqrt[1 + z]))/(116025 z^(3/2) Sqrt[-1 + Sqrt[1 + 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