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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.ak5m.01









  


  








Input Form





Hypergeometric2F1[5/4, 23/4, 5/2, -z] == -((2 Sqrt[2] (-112 z^5 + 78 (-1 + Sqrt[1 + z]) + 39 z (-5 + 4 Sqrt[1 + z]) + z^4 (-508 + 56 Sqrt[1 + z]) + z^3 (-891 + 212 Sqrt[1 + z]) + z^2 (-724 + 290 Sqrt[1 + z])))/(1463 z^(3/2) (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