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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=-23/8





http://functions.wolfram.com/07.23.03.bhf7.01









  


  








Input Form





Hypergeometric2F1[-(27/8), -(23/8), 13/4, z] == (4 2^(1/4) (2 (1311 - 30153 z + 4190062 z^2 + 14760758 z^3 + 9140435 z^4 + 904499 z^5) + (1/Sqrt[1 - z]) (-2622 + 61617 z + 3743117 z^2 + 4108986 z^3 - 5277380 z^4 - 2553563 z^5 - 80155 z^6)))/ (48612265 (1 + Sqrt[1 - z])^(1/4) z^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