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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=5/4, b>=a > For fixed z and a=5/4, b=23/4





http://functions.wolfram.com/07.23.03.ak61.01









  


  








Input Form





Hypergeometric2F1[5/4, 23/4, 11/2, -z] == -((16 Sqrt[2] (-112 z^5 + z^3 (21 - 16 Sqrt[1 + z]) - 112 (-1 + Sqrt[1 + z]) + 4 z (13 + Sqrt[1 + z]) + z^2 (-21 + 5 Sqrt[1 + z]) + z^4 (-52 + 56 Sqrt[1 + z])))/ (2717 z^(9/2) (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