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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=45/8





http://functions.wolfram.com/07.23.03.by5m.01









  


  










Input Form





Hypergeometric2F1[1/8, 45/8, -(15/4), z] == (1/(17185168 2^(3/4) (-1 + z)^9)) ((1 + Sqrt[1 - z])^(3/4) (-8592584 + 77333256 z - 311969385 z^2 + 751516324 z^3 + 1605939810 z^4 - 1009804788 z^5 + 422152327 z^6 - 104212080 z^7 + 11499264 z^8 + (1/Sqrt[1 - z]) (4 (-2148146 + 20407387 z - 87390485 z^2 + 224592849 z^3 - 1132489272 z^4 + 818695833 z^5 - 455704681 z^6 + 170260835 z^7 - 38011456 z^8 + 3833088 z^9))))










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