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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.bfcn.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 21/8, 5/2, z] == (1/(5257395 z^(3/2))) (8 ((1 + Sqrt[z])^(15/4) (2852 - 10695 Sqrt[z] + 59892 z + 150560 z^(3/2) - 1163520 z^2 + 2075904 z^(5/2) - 1520640 z^3 + 405504 z^(7/2)) + (1 - Sqrt[z])^(15/4) (-2852 - 10695 Sqrt[z] - 59892 z + 150560 z^(3/2) + 1163520 z^2 + 2075904 z^(5/2) + 1520640 z^3 + 405504 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