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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=27/8





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









  


  








Input Form





Hypergeometric2F1[-(1/8), 27/8, -(11/2), z] == (1/90112) ((1/(1 - Sqrt[z])^(35/4)) (45056 - 394240 Sqrt[z] + 1531136 z - 3467520 z^(3/2) + 5056800 z^2 - 4944828 z^(5/2) + 3264345 z^3 - 1412808 z^(7/2) + 361200 z^4 - 41280 z^(9/2)) + (1/(1 + Sqrt[z])^(35/4)) (45056 + 394240 Sqrt[z] + 1531136 z + 3467520 z^(3/2) + 5056800 z^2 + 4944828 z^(5/2) + 3264345 z^3 + 1412808 z^(7/2) + 361200 z^4 + 41280 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