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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=-31/8, b>=a > For fixed z and a=-31/8, b=21/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 21/8, 17/4, z] == (1/(5098555 z^4)) (8 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (4 (-4278 + 9269 z + 6417 z^2 + 71300 z^3 - 213121 z^4 + 240429 z^5 - 125376 z^6 + 25344 z^7) + (1/Sqrt[1 - z]) (17112 - 45632 z - 9269 z^2 - 268801 z^3 + 1318601 z^4 - 2211979 z^5 + 1848928 z^6 - 784128 z^7 + 135168 z^8)))








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