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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=-7/4





http://functions.wolfram.com/07.23.03.a97k.01









  


  








Input Form





Hypergeometric2F1[-(19/4), -(7/4), 2, z] == (1/(504735 Pi z)) (8 (2 Sqrt[1 - z] (1995 + 116276 z + 233218 z^2 + 25620 z^3 - 2933 z^4 + 224 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (1995 - 11404 z - 370694 z^2 - 368004 z^3 - 749 z^4 + 56 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (1995 + 116276 z + 233218 z^2 + 25620 z^3 - 2933 z^4 + 224 z^5) EllipticK[(1/2) (1 - 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