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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=-17/4, b>=a > For fixed z and a=-17/4, b=-1/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), -(1/4), 4, z] == (1/(50470875 Pi z^3)) (256 (-2 (-544 + 6375 z - 44676 z^2 - 786750 z^3 - 77700 z^4 + 19791 z^5 - 3920 z^6 + 384 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (544 - 6239 z + 43180 z^2 + 402550 z^3 + 4300 z^4 - 911 z^5 + 96 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (-544 + 6375 z - 44676 z^2 - 786750 z^3 - 77700 z^4 + 19791 z^5 - 3920 z^6 + 384 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