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





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









  


  








Input Form





Hypergeometric2F1[-(13/4), 13/4, -(5/2), -z] == (Sqrt[z] (z^3 (3234 - 4648 Sqrt[1 + z]) + 20 (1 + Sqrt[1 + z]) - 2464 z^5 (-1 + 2 Sqrt[1 + z]) - z (37 + 47 Sqrt[1 + z]) - 112 z^4 (-49 + 87 Sqrt[1 + z]) + z^2 (101 + 127 Sqrt[1 + z])))/ (40 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