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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=6





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









  


  










Input Form





Hypergeometric2F1[-(17/4), 6, -(5/4), z] == -((1/(2621440 (-1 + z)^3)) (2621440 + 45613056 z + 2280652800 z^2 - 25120407550 z^3 + 85553050800 z^4 - 129784172700 z^5 + 91671259680 z^6 - 24649975350 z^7 - 10094175 (-1 + z)^3 z^(9/4) (221 - 1122 z + 1221 z^2) ArcTan[z^(1/4)] + 10094175 (-1 + z)^3 z^(9/4) (221 - 1122 z + 1221 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