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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=-19/4, b>=a > For fixed z and a=-19/4, b=-9/4





http://functions.wolfram.com/07.23.03.a96v.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(9/4), 9/2, -z] == (8 Sqrt[2] (2 (-20 - 382 z - 4403 z^2 - 68598 z^3 + 609697 z^4 - 739970 z^5 + 170479 z^6 + 598 z^7 + 23 z^8) + (1/Sqrt[1 + z]) (40 + 784 z + 9183 z^2 + 141506 z^3 - 645139 z^4 - 159808 z^5 + 553929 z^6 - 66838 z^7 - 2461 z^8 - 92 z^9)))/ (8107385 z^(7/2) Sqrt[-1 + Sqrt[1 + z]])








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