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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.aawp.01









  


  










Input Form





Hypergeometric2F1[-(17/4), 5, 11/4, z] == (1/(268435456 z^(7/4))) (7 (2 z^(3/4) (-9945 + 18911129 z - 137286730 z^2 + 328319810 z^3 - 320994765 z^4 + 111035925 z^5) + 9945 (-1 + z)^2 (-3 - 84 z + 3150 z^2 - 12180 z^3 + 11165 z^4) ArcTan[z^(1/4)] - 9945 (-1 + z)^2 (-3 - 84 z + 3150 z^2 - 12180 z^3 + 11165 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