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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=-43/8, b>=a > For fixed z and a=-43/8, b=1/8





http://functions.wolfram.com/07.23.03.b7ok.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 1/8, -(7/2), z] == (1/3584) ((1 + Sqrt[z])^(7/4) (1792 - 3136 Sqrt[z] + 4656 z - 5992 z^(3/2) + 7567 z^2 - 8988 z^(5/2) + 10864 z^3 - 12544 z^(7/2) + 16128 z^4 - 9216 z^(9/2)) + (1 - Sqrt[z])^(7/4) (1792 + 3136 Sqrt[z] + 4656 z + 5992 z^(3/2) + 7567 z^2 + 8988 z^(5/2) + 10864 z^3 + 12544 z^(7/2) + 16128 z^4 + 9216 z^(9/2)))








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