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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=-41/8, b>=a > For fixed z and a=-41/8, b=-29/8





http://functions.wolfram.com/07.23.03.b8q4.01









  


  








Input Form





Hypergeometric2F1[-(41/8), -(29/8), 15/4, z] == (4 2^(3/4) (11890 - 338865 z + 470352060 z^2 + 2491781149 z^3 + 3157690482 z^4 + 1124318889 z^5 + 88041024 z^6 - 213237 z^7 + (1/Sqrt[1 - z]) (2 (-5945 + 172405 z + 226751965 z^2 + 842927697 z^3 + 69953295 z^4 - 838459185 z^5 - 289896513 z^6 - 11585877 z^7 + 142158 z^8))))/(3696095745 (1 + Sqrt[1 - z])^(3/4) z^2)








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