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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=-23/4, b>=a > For fixed z and a=-23/4, b=5





http://functions.wolfram.com/07.23.03.a7ro.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 5, -(11/4), z] == (1/(10092544 (-1 + z)^2)) (2 (5046272 + 42663936 z + 329121792 z^2 + 4205445120 z^3 - 58316380515 z^4 + 165900016485 z^5 - 176261033025 z^6 + 64073584575 z^7) - 140821065 (-1 + z)^2 z^(15/4) (437 - 1610 z + 1365 z^2) ArcTan[z^(1/4)] - 140821065 (-1 + z)^2 z^(15/4) (437 - 1610 z + 1365 z^2) 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