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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=-3/4





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









  


  








Input Form





Hypergeometric2F1[-(13/4), -(3/4), 3/2, -z] == -((Sqrt[2] (z (245 - 457 Sqrt[1 + z]) + 39 (-1 + Sqrt[1 + z]) + z^4 (-2 + 4 Sqrt[1 + z]) + z^3 (-17 + 33 Sqrt[1 + z]) + z^2 (269 + 205 Sqrt[1 + z])))/(385 Sqrt[z] Sqrt[1 + z] 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