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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=-15/4, b>=a > For fixed z and a=-15/4, b=-11/4





http://functions.wolfram.com/07.23.03.ab3h.01









  


  








Input Form





Hypergeometric2F1[-(15/4), -(11/4), 3, z] == (1/(9589965 Pi z^2)) (64 (2 Sqrt[1 - z] (-308 + 8239 z + 252100 z^2 + 459698 z^3 + 127448 z^4 + 1463 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (-308 + 8239 z + 252100 z^2 + 459698 z^3 + 127448 z^4 + 1463 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] + 2 (154 - 4235 z + 26872 z^2 + 370694 z^3 + 392246 z^4 + 62909 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