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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=-5/4, b>=a > For fixed z and a=-5/4, b=21/4





http://functions.wolfram.com/07.23.03.agbz.01









  


  










Input Form





Hypergeometric2F1[-(5/4), 21/4, 1, -z] == -((1/(9945 Pi (1 + z)^(11/4))) (2 (-2 (26323 + 205755 z + 466872 z^2 + 420336 z^3 + 133056 z^4) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (26323 + 133056 z^4 + 16378 Sqrt[1 + z] + 3024 z^3 (139 + 22 Sqrt[1 + z]) + 168 z^2 (2779 + 888 Sqrt[1 + z]) + 3 z (68585 + 32998 Sqrt[1 + z])) EllipticK[1/2 - 1/(2 Sqrt[1 + 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