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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=3/4, b>=a > For fixed z and a=3/4, b=9/4





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









  


  








Input Form





Hypergeometric2F1[3/4, 9/4, -(5/2), -z] == (Sqrt[z] (z^3 (2287 - 897 Sqrt[1 + z]) + z^4 (39 - 78 Sqrt[1 + z]) + 20 (1 + Sqrt[1 + z]) + z (121 + 111 Sqrt[1 + z]) + z^2 (333 + 280 Sqrt[1 + z])))/(40 Sqrt[2] (1 + z)^(11/2) 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