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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=-1/4





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









  


  










Input Form





Hypergeometric2F1[-(15/4), -(1/4), 4, -z] == (1/(177161985 Pi z^3)) (256 (1 + z)^(1/4) (-2 (2464 + 26565 z + 170016 z^2 - 1657074 z^3 + 38844 z^4 + 7605 z^5 + 780 z^6) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (2464 + 26565 z + 170016 z^2 - 1657074 z^3 + 38844 z^4 + 7605 z^5 + 780 z^6) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (-2464 - 24717 z - 151767 z^2 + 384033 z^3 + 67275 z^4 + 14040 z^5 + 1560 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