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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=-11/4, b>=a > For fixed z and a=-11/4, b=6





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 6, 13/4, z] == -((1/(671088640 z^(9/4))) (3 (2 z^(1/4) (88935 + 1351812 z - 60878470 z^2 + 189491940 z^3 - 140821065 z^4) + 1155 (-77 - 1155 z - 43890 z^2 + 336490 z^3 - 648945 z^4 + 365769 z^5) ArcTan[z^(1/4)] + 1155 (-77 - 1155 z - 43890 z^2 + 336490 z^3 - 648945 z^4 + 365769 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