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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=-5/8, b>=a > For fixed z and a=-5/8, b=39/8





http://functions.wolfram.com/07.23.03.bv5x.01









  


  








Input Form





Hypergeometric2F1[-(5/8), 39/8, 7/2, z] == (1/(1272705 z^(5/2))) (32 ((528 + 396 Sqrt[z] + 2563 z + 1980 z^(3/2) + 18480 z^2 + 34048 z^(5/2) - 48384 z^3 - 64512 z^(7/2))/(1 + Sqrt[z])^(3/4) + (1/(1 - Sqrt[z])^(3/4)) (-528 + 396 Sqrt[z] - 2563 z + 1980 z^(3/2) - 18480 z^2 + 34048 z^(5/2) + 48384 z^3 - 64512 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