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





http://functions.wolfram.com/07.23.03.bxd5.01









  


  










Input Form





Hypergeometric2F1[1/8, 5/8, -(19/4), z] == (1/(6688 2^(3/4) (-1 + z)^5)) ((1 + Sqrt[1 - z])^(3/4) (-3344 + 16148 z - 30877 z^2 + 29038 z^3 - 13269 z^4 + (-3344 + 17820 z - 38533 z^2 + 42667 z^3 - 24807 z^4 + 9269 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