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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 4 and fixed z > For fixed z and a=-5/4, b>=a > For fixed z and a=-5/4, b=2





http://functions.wolfram.com/07.23.03.ag0s.01









  


  








Input Form





Hypergeometric2F1[-(5/4), 2, 19/4, z] == -((1/(65536 z^(15/4))) (11 (2 z^(3/4) (385 - 1060 z + 630 z^2 - 2436 z^3 + 945 z^4) + 105 (-1 + z)^4 (11 + 9 z) ArcTan[z^(1/4)] - 105 (-1 + z)^4 (11 + 9 z) ArcTanh[z^(1/4)])))








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