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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=-23/4, b>=a > For fixed z and a=-23/4, b=4





http://functions.wolfram.com/07.23.03.9932.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 4, -(19/4), z] == -((1/(80256 (-1 + z)^3)) (80256 + 147840 z + 305536 z^2 + 749952 z^3 + 2464128 z^4 + 15606144 z^5 - 93271095 z^6 + 120703770 z^7 - 46940355 z^8)) - (224595/256) z^(23/4) ArcTan[z^(1/4)] - (224595/256) z^(23/4) 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