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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=-19/4, b>=a > For fixed z and a=-19/4, b=6





http://functions.wolfram.com/07.23.03.a9xi.01









  


  










Input Form





Hypergeometric2F1[-(19/4), 6, -(3/4), z] == (1/(2097152 (-1 + z)^2)) (2097152 + 75497472 z - 2442291570 z^2 + 13520930328 z^3 - 28522666620 z^4 + 25911075960 z^5 - 8543144610 z^6 + 4542615 (-1 + z)^2 z^(7/4) (-209 + 1767 z - 4123 z^2 + 2821 z^3) ArcTan[z^(1/4)] + 4542615 (-1 + z)^2 z^(7/4) (-209 + 1767 z - 4123 z^2 + 2821 z^3) 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