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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=17/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 17/4, 4, -z] == (1/(50470875 Pi z^3)) (256 (1 + z)^(1/4) (2 (544 - 2567 z + 17850 z^2 + 933545 z^3 + 3563000 z^4 + 5296368 z^5 + 3533376 z^6 + 887040 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (544 - 2975 z + 20145 z^2 + 523760 z^3 + 1416800 z^4 + 1360128 z^5 + 443520 z^6) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (544 - 2567 z + 17850 z^2 + 933545 z^3 + 3563000 z^4 + 5296368 z^5 + 3533376 z^6 + 887040 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