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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=19/4





http://functions.wolfram.com/07.23.03.ak14.01









  


  








Input Form





Hypergeometric2F1[5/4, 19/4, -(1/2), -z] == (Sqrt[z] (-8 z^5 + z (1361 - 965 Sqrt[1 + z]) + 4 z^4 (-16 + Sqrt[1 + z]) + 11 (1 + Sqrt[1 + z]) + 7 z^2 (-137 + 15 Sqrt[1 + z]) + z^3 (-253 + 29 Sqrt[1 + z])))/(22 Sqrt[2] (1 + z)^(13/2) 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