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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=-9/8, b>=a > For fixed z and a=-9/8, b=27/8





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









  


  










Input Form





Hypergeometric2F1[-(9/8), 27/8, -(5/2), z] == (1/12160) ((1/(1 - Sqrt[z])^(19/4)) (6080 - 28880 Sqrt[z] + 63384 z - 93499 z^(3/2) + 105640 z^2 - 86640 z^(5/2) + 42560 z^3 - 8960 z^(7/2)) + (1/(1 + Sqrt[z])^(19/4)) (6080 + 28880 Sqrt[z] + 63384 z + 93499 z^(3/2) + 105640 z^2 + 86640 z^(5/2) + 42560 z^3 + 8960 z^(7/2)))










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