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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=29/8





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









  


  








Input Form





Hypergeometric2F1[1/8, 29/8, -(15/4), z] == (1/(240240 2^(3/4) (-1 + z)^7)) ((1 + Sqrt[1 - z])^(3/4) (-120120 + 832832 z - 2488031 z^2 + 4210557 z^3 + 3892267 z^4 - 1227073 z^5 + 171120 z^6 + (1/Sqrt[1 - z]) (4 (-30030 + 223223 z - 722358 z^2 + 1339494 z^3 - 3811698 z^4 + 1644891 z^5 - 457746 z^6 + 57040 z^7))))








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