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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=-17/4, b>=a > For fixed z and a=-17/4, b=3





http://functions.wolfram.com/07.23.03.aaq4.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 3, 15/4, z] == (1/(83886080 z^(11/4))) (11 (2 z^(3/4) (-23205 - 33150 z + 3680705 z^2 - 11284532 z^3 + 13921453 z^4 - 7936110 z^5 + 1740375 z^6) + 69615 (-1 + z)^5 (1 + 6 z + 25 z^2) ArcTan[z^(1/4)] - 69615 (-1 + z)^5 (1 + 6 z + 25 z^2) 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