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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=5/4, b>=a > For fixed z and a=5/4, b=19/4





http://functions.wolfram.com/07.23.03.ak0o.01









  


  








Input Form





Hypergeometric2F1[5/4, 19/4, -(9/2), -z] == (Sqrt[z] (-3496 z^9 + z^5 (10565882 - 5888330 Sqrt[1 + z]) + 1748 z^8 (-28 + Sqrt[1 + z]) + 1008 (1 + Sqrt[1 + z]) + 437 z^7 (-853 + 53 Sqrt[1 + z]) + 437 z^6 (-7201 + 387 Sqrt[1 + z]) + 28 z (421 + 403 Sqrt[1 + z]) + 22 z^4 (30257 + 25895 Sqrt[1 + z]) + z^2 (65263 + 59747 Sqrt[1 + z]) + z^3 (234059 + 205533 Sqrt[1 + z])))/ (2016 Sqrt[2] (1 + z)^(21/2) 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