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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=-11/2, b>=a > For fixed z and a=-11/2, b=-3/2





http://functions.wolfram.com/07.23.03.0808.01









  


  








Input Form





Hypergeometric2F1[-(11/2), -(3/2), 3/2, z] == (1/(40960 Sqrt[z])) (Sqrt[(-(-1 + z)) z] (37495 + 2 z (80145 - 8 z (-2093 + 454 z - 84 z^2 + 8 z^3))) + 3465 (1 + 8 z (3 + 5 z)) ArcSin[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