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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=-11/4, b>=a > For fixed z and a=-11/4, b=19/4





http://functions.wolfram.com/07.23.03.adm7.01









  


  








Input Form





Hypergeometric2F1[-(11/4), 19/4, -(5/2), -z] == (Sqrt[z] (-4992 z^7 + 60 (1 + Sqrt[1 + z]) + 192 z^6 (-112 + 13 Sqrt[1 + z]) - 3 z (17 + 27 Sqrt[1 + z]) + 240 z^5 (-146 + 37 Sqrt[1 + z]) + 136 z^4 (-188 + 81 Sqrt[1 + z]) + 2 z^2 (61 + 85 Sqrt[1 + z]) + z^3 (-6919 + 4999 Sqrt[1 + z])))/ (120 Sqrt[2] (1 + z)^(9/2) 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