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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=-15/4, b>=a > For fixed z and a=-15/4, b=11/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 11/4, 6, -z] == (1/(2957242365 Pi z^5)) (16384 (1 + z)^(1/4) (2 (-22528 - 106656 z - 160545 z^2 - 26565 z^3 + 51975 z^4 + 186921 z^5 + 191982 z^6 + 88560 z^7 + 15840 z^8) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (-22528 - 106656 z - 160545 z^2 - 26565 z^3 + 51975 z^4 + 186921 z^5 + 191982 z^6 + 88560 z^7 + 15840 z^8) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (22528 + 89760 z + 95865 z^2 - 35805 z^3 - 17325 z^4 + 180369 z^5 + 271320 z^6 + 153360 z^7 + 31680 z^8) 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