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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.a7s3.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 5, 13/4, z] == (1/(34359738368 z^(9/4))) (3 (-2 z^(1/4) (2523675 + 44921415 z - 3385583617 z^2 + 21593000875 z^3 - 54186966495 z^4 + 66040202565 z^5 - 39262254075 z^6 + 9153369225 z^7) + 504735 (-1 + z)^4 (5 + 108 z + 5022 z^2 - 39060 z^3 + 54405 z^4) ArcTan[z^(1/4)] + 504735 (-1 + z)^4 (5 + 108 z + 5022 z^2 - 39060 z^3 + 54405 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