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





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









  


  










Input Form





Hypergeometric2F1[-(11/4), -(11/4), 6, z] == (1/(51507980123985 Pi z^5)) (16384 (2 Sqrt[1 - z] (157696 - 2279200 z + 16717239 z^2 - 89932535 z^3 + 510099590 z^4 + 3819722994 z^5 + 2325261715 z^6 + 192399701 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (157696 - 2279200 z + 16717239 z^2 - 89932535 z^3 + 510099590 z^4 + 3819722994 z^5 + 2325261715 z^6 + 192399701 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (-157696 + 2397472 z - 18415551 z^2 + 102315290 z^3 - 576443945 z^4 + 2844620076 z^5 + 8104809983 z^6 + 2944347706 z^7 + 140821065 z^8) 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