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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=-17/4, b>=a > For fixed z and a=-17/4, b=5





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 5, -(5/4), z] == (1/(131072 (-1 + z)^2)) (2 (65536 + 983040 z + 41287680 z^2 - 364297675 z^3 + 931564725 z^4 - 942795945 z^5 + 333107775 z^6) + 348075 (-1 + z)^2 z^(9/4) (221 - 986 z + 957 z^2) ArcTan[z^(1/4)] - 348075 (-1 + z)^2 z^(9/4) (221 - 986 z + 957 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