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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=-5/2





http://functions.wolfram.com/07.23.03.0792.01









  


  








Input Form





Hypergeometric2F1[-(11/2), -(5/2), 4, z] == (1/(765765 Pi z^3)) (32 ((1 + z (14 + z)) (8 + z (-297 + z (7260 + z (18826 + z (7260 + z (-297 + 8 z)))))) EllipticE[z] + (-8 + z (189 + z (-3202 + z (-70765 + z (-65256 + z (92659 + z (46294 + (93 - 4 z) 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