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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=3/4





http://functions.wolfram.com/07.23.03.a9dp.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 3/4, -(11/2), -z] == (Sqrt[z] (-288 z^6 + 1056 (1 + Sqrt[1 + z]) - 70 z^4 (1 + 2 Sqrt[1 + z]) + 48 z (16 + 5 Sqrt[1 + z]) + 16 z^5 (4 + 9 Sqrt[1 + z]) - 6 z^2 (31 + 29 Sqrt[1 + z]) + z^3 (98 + 149 Sqrt[1 + z])))/ (2112 Sqrt[2] (1 + z)^(3/2) 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