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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/07.23.03.1927.01









  


  








Input Form





Hypergeometric2F1[-(5/2), -(5/2), 5, z] == (1/(135270135 Pi z^4)) (256 (2 (-120 + z (1660 + z (-12375 + z (83300 + z (1089934 + z (823416 + 78569 z)))))) EllipticE[z] + (-1 + z) (-240 + z (3200 + z (-23195 + z (155580 + z (1196798 + z (687196 + 45045 z)))))) EllipticK[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