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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=6





http://functions.wolfram.com/07.23.03.a8zb.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 6, -(9/4), z] == (1/(7864320 (-1 + z)^3)) (2 (-3932160 - 43253760 z - 501743616 z^2 - 20905984000 z^3 + 206299556925 z^4 - 654850026600 z^5 + 945754659850 z^6 - 644186022480 z^7 + 168441498225 z^8) + 111035925 (-1 + z)^3 z^(13/4) (357 - 1554 z + 1517 z^2) ArcTan[z^(1/4)] - 111035925 (-1 + z)^3 z^(13/4) (357 - 1554 z + 1517 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