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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=-21/4, b>=a > For fixed z and a=-21/4, b=4





http://functions.wolfram.com/07.23.03.a8sk.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 4, -(17/4), z] == -((1/(84864 (-1 + z)^3)) (84864 + 164736 z + 367488 z^2 + 1020800 z^3 + 4287360 z^4 + 72885120 z^5 - 278823545 z^6 + 310900590 z^7 - 111035925 z^8)) + (167475/256) z^(21/4) ArcTan[z^(1/4)] - (167475/256) z^(21/4) 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