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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=-9/2





http://functions.wolfram.com/07.23.03.1153.01









  


  








Input Form





Hypergeometric2F1[-(9/2), -(9/2), 9/2, -z] == (1/(1073741824 z^(7/2))) (Sqrt[z] Sqrt[1 + z] (-14175 + 2 z (-176715 + 4 z (-711585 + 2 z (58453573 + 8 z (-27334105 + 2 z (12294807 + 4 z (-729161 + 31714 z))))))) - 315 (-45 + 128 z (-9 + z (-147 + 4 z (-882 + z (11025 + 32 z (-735 + z (441 + 2 (-36 + 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