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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a=-3/2, b>=a > For fixed z and a=-3/2, b=-1/2





http://functions.wolfram.com/07.23.03.2281.01









  


  








Input Form





Hypergeometric2F1[-(3/2), -(1/2), 5/2, -z] == (Sqrt[z] Sqrt[1 + z] (-3 + 94 z - 8 z^2) + (3 + 36 (1 - 2 z) z) ArcSinh[Sqrt[z]])/(128 z^(3/2))








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