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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=-5/8, b>=a > For fixed z and a=-5/8, b=-1/8





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









  


  










Input Form





Hypergeometric2F1[-(5/8), -(1/8), -(21/4), z] == (1/(891072 2^(1/4) (-1 + z)^4)) ((1 + Sqrt[1 - z])^(1/4) (2 (222768 - 880464 z + 1299753 z^2 - 846606 z^3 + 203429 z^4) + (445536 - 1983696 z + 3424278 z^2 - 2800695 z^3 + 1021180 z^4 - 97643 z^5)/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