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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=-7/2





http://functions.wolfram.com/07.23.03.0764.01









  


  










Input Form





Hypergeometric2F1[-(11/2), -(7/2), 3, z] == (1/(135135 Pi z^2)) (-32 (1 + z) (7 + z (-294 + z (-23463 + z (-83572 + z (-23463 + 7 (-42 + z) z))))) EllipticE[z] + 16 (-1 + z) (-14 + z (567 + z (30903 + z (117014 + z (97056 + 7 z (2373 + 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