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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=1, b>=a > For fixed z and a=1, b=4





http://functions.wolfram.com/07.23.03.3233.01









  


  








Input Form





Hypergeometric2F1[1, 4, -(9/2), z] == -((1/(1008 (1 - z)^(19/2))) (Sqrt[1 - z] (-1008 + z (9968 + z (-45632 + z (131520 + z (-290336 + z (816416 + 231 z (717 - 98 z + 8 z^2))))))) + 765765 z^(11/2) 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