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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=-25/8, b>=a > For fixed z and a=-25/8, b=43/8





http://functions.wolfram.com/07.23.03.bjj2.01









  


  








Input Form





Hypergeometric2F1[-(25/8), 43/8, -(5/4), z] == (17556 (1 + Sqrt[1 - z]) + 4389 (39 + 41 Sqrt[1 - z]) z + 13167 (426 + 433 Sqrt[1 - z]) z^2 - (49941517 + 39212240 Sqrt[1 - z]) z^3 + 32 (4458339 + 2551252 Sqrt[1 - z]) z^4 - 8448 (22131 + 8216 Sqrt[1 - z]) z^5 + 585728 (199 + 36 Sqrt[1 - z]) z^6 - 28114944 z^7)/(17556 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - 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