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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=-19/4, b>=a > For fixed z and a=-19/4, b=15/4





http://functions.wolfram.com/07.23.03.a9p7.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 15/4, 2, -z] == (1/(504735 Pi z)) (8 (1 + z)^(1/4) (2 (1995 + 126251 z + 718272 z^2 + 1442880 z^3 + 1223040 z^4 + 374400 z^5) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (1995 + 126251 z + 718272 z^2 + 1442880 z^3 + 1223040 z^4 + 374400 z^5) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (-1995 + 1429 z + 396360 z^2 + 1528560 z^3 + 1884480 z^4 + 748800 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