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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.acjb.01









  


  










Input Form





Hypergeometric2F1[-(13/4), 7/4, 5, z] == (1/(50470875 Pi z^4)) (4096 (-2 (-1664 + 8944 z - 17147 z^2 + 6825 z^3 - 29425 z^4 + 27571 z^5 - 11936 z^6 + 2048 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] - 2 Sqrt[1 - z] (832 - 4264 z + 7605 z^2 - 1950 z^3 + 2525 z^4 - 1308 z^5 + 256 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (-1664 + 8944 z - 17147 z^2 + 6825 z^3 - 29425 z^4 + 27571 z^5 - 11936 z^6 + 2048 z^7) 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