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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=-21/4, b>=a > For fixed z and a=-21/4, b=13/4





http://functions.wolfram.com/07.23.03.a8pz.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 13/4, -(9/2), -z] == -((Sqrt[z] (-240 (1 + Sqrt[1 + z]) + 91520 z^7 (-1 + 2 Sqrt[1 + z]) + 20 z (17 + 23 Sqrt[1 + z]) + 9152 z^6 (-22 + 39 Sqrt[1 + z]) - 5 z^2 (115 + 167 Sqrt[1 + z]) - 24 z^4 (144 + 185 Sqrt[1 + z]) + 176 z^5 (-662 + 947 Sqrt[1 + z]) + z^3 (1193 + 1683 Sqrt[1 + z])))/ (480 Sqrt[2] (1 + z)^(5/2) 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