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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=5





http://functions.wolfram.com/07.23.03.a7rk.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 5, -(19/4), z] == (1/856064) ((1/(-1 + z)^4) (2 (428032 + 878592 z + 2050048 z^2 + 5777408 z^3 + 22284288 z^4 + 170846208 z^5 - 1415404107 z^6 + 2781673245 z^7 - 2179373625 z^8 + 610224615 z^9)) - 1830673845 z^(23/4) ArcTan[z^(1/4)] - 1830673845 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