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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=-13/4, b>=a > For fixed z and a=-13/4, b=7/4





http://functions.wolfram.com/07.23.03.acj8.01









  


  








Input Form





Hypergeometric2F1[-(13/4), 7/4, 4, z] == (1/(1740375 Pi z^3)) (256 (-2 (1248 - 4797 z + 2925 z^2 - 17075 z^3 + 19875 z^4 - 10272 z^5 + 2048 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (-1248 + 4485 z - 1950 z^2 + 3425 z^3 - 2200 z^4 + 512 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (1248 - 4797 z + 2925 z^2 - 17075 z^3 + 19875 z^4 - 10272 z^5 + 2048 z^6) 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