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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=-9/2, b>=a > For fixed z and a=-9/2, b=-1/2





http://functions.wolfram.com/07.23.03.1242.01









  


  










Input Form





Hypergeometric2F1[-(9/2), -(1/2), 3/2, -z] == (1/(2560 Sqrt[z])) (Sqrt[z] Sqrt[1 + z] (2245 - 4 z (440 + z (183 + 8 z (7 + z)))) + 315 (1 - 10 z) ArcSinh[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