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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=-9/4, b>=a > For fixed z and a=-9/4, b=6





http://functions.wolfram.com/07.23.03.aeq2.01









  


  








Input Form





Hypergeometric2F1[-(9/4), 6, -(5/4), z] == (1/81920) ((1/(-1 + z)^5) (2 (-40960 - 237568 z - 5939200 z^2 + 38209675 z^3 - 85584800 z^4 + 91969150 z^5 - 48452040 z^6 + 10094175 z^7)) + 10094175 z^(9/4) ArcTan[z^(1/4)] - 10094175 z^(9/4) 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