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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/07.23.03.0907.01









  


  








Input Form





Hypergeometric2F1[-(11/2), 3/2, 3, z] == -((1/(45045 Pi z^2)) (16 ((-2 + z) (231 + z (-693 + z (5461 + z (-9767 + 32 z (297 + 4 z (-37 + 8 z)))))) EllipticE[z] - 2 (-1 + z) (231 + z (-693 + z (2689 + z (-4223 + 4 z (867 + 16 z (-23 + 4 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