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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=-13/4, b>=a > For fixed z and a=-13/4, b=6





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









  


  








Input Form





Hypergeometric2F1[-(13/4), 6, 19/4, z] == -((1/(4294967296 z^(15/4))) (55 (2 z^(3/4) (3003 + 18486 z + 104013 z^2 - 38093804 z^3 + 141703653 z^4 - 170389674 z^5 + 66621555 z^6) + 819 (-1 + z)^2 (11 + 85 z + 510 z^2 + 4250 z^3 - 61625 z^4 + 81345 z^5) ArcTan[z^(1/4)] - 819 (-1 + z)^2 (11 + 85 z + 510 z^2 + 4250 z^3 - 61625 z^4 + 81345 z^5) 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