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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=1/4, b>=a > For fixed z and a=1/4, b=11/4





http://functions.wolfram.com/07.23.03.ai7n.01









  


  








Input Form





Hypergeometric2F1[1/4, 11/4, -(7/2), -z] == (Sqrt[z] (132 z^6 + z^5 (979 - 66 Sqrt[1 + z]) + 56 (1 + Sqrt[1 + z]) - 55 z^4 (-71 + 8 Sqrt[1 + z]) + 4 z (92 + 85 Sqrt[1 + z]) + 7 z^3 (239 + 182 Sqrt[1 + z]) + z^2 (1039 + 876 Sqrt[1 + z])))/ (112 Sqrt[2] (1 + z)^(13/2) 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