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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=-7/4, b>=a > For fixed z and a=-7/4, b=5





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









  


  








Input Form





Hypergeometric2F1[-(7/4), 5, 21/4, z] == (1/(268435456 z^(17/4))) (221 (-2 z^(1/4) (4095 + 6489 z + 12614 z^2 + 35490 z^3 - 235125 z^4 + 168245 z^5) + 105 (-1 + z)^2 (39 + 132 z + 330 z^2 + 836 z^3 + 4807 z^4) ArcTan[z^(1/4)] + 105 (-1 + z)^2 (39 + 132 z + 330 z^2 + 836 z^3 + 4807 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