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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=9/4





http://functions.wolfram.com/07.23.03.ag1k.01









  


  








Input Form





Hypergeometric2F1[-(5/4), 9/4, 1/2, z] == (1/2) ((1 + 4 Sqrt[z] - 4 z - 8 z^(3/2))/Sqrt[1 + Sqrt[z]] + (1 - 4 Sqrt[z] - 4 z + 8 z^(3/2))/Sqrt[1 - Sqrt[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