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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=-27/8, b>=a > For fixed z and a=-27/8, b=41/8





http://functions.wolfram.com/07.23.03.bi8z.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 41/8, 7/2, z] == (1/(19939045 z^(5/2))) (32 ((1 + Sqrt[z])^(7/4) (-912 + 1596 Sqrt[z] - 11571 z + 19152 z^(3/2) - 191520 z^2 + 633472 z^(5/2) + 998144 z^3 - 3713024 z^(7/2) + 544768 z^4 + 4014080 z^(9/2) - 2293760 z^5) + (1 - Sqrt[z])^(7/4) (912 + 1596 Sqrt[z] + 11571 z + 19152 z^(3/2) + 191520 z^2 + 633472 z^(5/2) - 998144 z^3 - 3713024 z^(7/2) - 544768 z^4 + 4014080 z^(9/2) + 2293760 z^5)))








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