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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=-5/4, b>=a > For fixed z and a=-5/4, b=1/4





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









  


  








Input Form





Hypergeometric2F1[-(5/4), 1/4, 6, -z] == (1/(1527701175 Pi z^5)) (16384 (1 + z)^(1/4) (2 (-2048 - 14816 z - 47235 z^2 - 89215 z^3 - 124075 z^4 + 136059 z^5 + 8778 z^6) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (-2048 - 13280 z - 37515 z^2 - 62545 z^3 - 81025 z^4 + 4389 z^5) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (-2048 - 14816 z - 47235 z^2 - 89215 z^3 - 124075 z^4 + 136059 z^5 + 8778 z^6) 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