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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=-23/4, b>=a > For fixed z and a=-23/4, b=-9/4





http://functions.wolfram.com/07.23.03.9257.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(9/4), 3, -z] == (1/(31121455365 Pi z^2)) (64 (1 + z)^(1/4) (-2 (672980 + 22040095 z - 1624335477 z^2 + 5094984834 z^3 - 2643441654 z^4 + 12202515 z^5 + 1156935 z^6 + 66300 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - 4 Sqrt[1 + z] (-168245 - 5383840 z + 166965663 z^2 - 335872362 z^3 + 84317025 z^4 + 5688540 z^5 + 553605 z^6 + 33150 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + (672980 + 22040095 z - 1624335477 z^2 + 5094984834 z^3 - 2643441654 z^4 + 12202515 z^5 + 1156935 z^6 + 66300 z^7) EllipticK[1/2 - 1/(2 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