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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=-5/2, b>=a > For fixed z and a=-5/2, b=-5/2





http://functions.wolfram.com/07.23.03.1926.01









  


  








Input Form





Hypergeometric2F1[-(5/2), -(5/2), 9/2, -z] == (1/(3145728 z^(7/2))) (7 (Sqrt[z] Sqrt[1 + z] (-75 + 2 z (-515 + 32 z (-130 + z (5607 + z (-5581 + 662 z))))) - 15 (-5 + 8 z (-9 + z (-75 + 16 z (-50 + z (225 + 8 (-15 + z) 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