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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=37/8





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









  


  








Input Form





Hypergeometric2F1[1/8, 37/8, -(19/4), z] == (1/(1357664 2^(3/4) (-1 + z)^9)) ((1 + Sqrt[1 - z])^(3/4) (-678832 + 6064828 z - 24149895 z^2 + 56516012 z^3 - 86982890 z^4 - 89273304 z^5 + 36004361 z^6 - 8755640 z^7 + 958272 z^8 + (1/Sqrt[1 - z]) (-678832 + 6404244 z - 27097455 z^2 + 67875283 z^3 - 112574694 z^4 + 326355786 z^5 - 159668507 z^6 + 57934815 z^7 - 12765552 z^8 + 1277696 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