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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=-15/4, b>=a > For fixed z and a=-15/4, b=5





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 5, -(7/4), z] == (1/(114688 (-1 + z)^3)) (-2 (57344 + 442368 z + 5087232 z^2 - 60737319 z^3 + 151676145 z^4 - 143416845 z^5 + 46940355 z^6) + 4542615 (-1 + z)^3 z^(11/4) (-15 + 31 z) ArcTan[z^(1/4)] + 4542615 (-1 + z)^3 z^(11/4) (-15 + 31 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