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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.absv.01









  


  








Input Form





Hypergeometric2F1[-(15/4), 5, 17/4, z] == (1/(7516192768 z^(13/4))) (39 (-2 z^(1/4) (51975 + 293370 z + 1930005 z^2 - 49261604 z^3 + 138985665 z^4 - 138874230 z^5 + 46940355 z^6) + 1155 (-1 + z)^3 (-45 - 380 z - 2622 z^2 - 47196 z^3 + 121923 z^4) ArcTan[z^(1/4)] + 1155 (-1 + z)^3 (-45 - 380 z - 2622 z^2 - 47196 z^3 + 121923 z^4) 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