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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=-21/4, b>=a > For fixed z and a=-21/4, b=-7/4





http://functions.wolfram.com/07.23.03.a8cj.01









  


  








Input Form





Hypergeometric2F1[-(21/4), -(7/4), 1, -z] == (1/(69615 Pi)) (2 (1 + z)^(1/4) (8 (34297 - 208410 z + 96558 z^2 + 13664 z^3 + 2289 z^4 + 210 z^5) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (67573 - 240381 z + 23499 z^2 + 4193 z^3 + 420 z^4) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - 4 (34297 - 208410 z + 96558 z^2 + 13664 z^3 + 2289 z^4 + 210 z^5) 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