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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=6





http://functions.wolfram.com/07.23.03.a7vn.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 6, 5/4, z] == (1/(5368709120 z^(1/4))) (2 z^(1/4) (1945927255 - 40268215287 z + 226595602422 z^2 - 515413632510 z^3 + 510758002755 z^4 - 183677609115 z^5) + 504735 (1463 - 67298 z + 648945 z^2 - 2438460 z^3 + 4267305 z^4 - 3503682 z^5 + 1091727 z^6) ArcTan[z^(1/4)] + 504735 (1463 - 67298 z + 648945 z^2 - 2438460 z^3 + 4267305 z^4 - 3503682 z^5 + 1091727 z^6) 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