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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=-47/8, b>=a > For fixed z and a=-47/8, b=-27/8





http://functions.wolfram.com/07.23.03.b4qm.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(27/8), -(7/2), z] == (1/17920) ((1 + Sqrt[z])^(23/4) (8960 - 51520 Sqrt[z] + 123120 z - 157320 z^(3/2) + 115083 z^2 - 47196 z^(5/2) + 8208 z^3) + (1 - Sqrt[z])^(23/4) (8960 + 51520 Sqrt[z] + 123120 z + 157320 z^(3/2) + 115083 z^2 + 47196 z^(5/2) + 8208 z^3))










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