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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=-9/4





http://functions.wolfram.com/07.23.03.ab5a.01









  


  








Input Form





Hypergeometric2F1[-(15/4), -(9/4), 5, -z] == (1/(155607276825 Pi z^4)) (4096 (1 + z)^(1/4) (-2 (4224 + 67408 z + 591855 z^2 + 4815195 z^3 - 109064490 z^4 + 130207878 z^5 - 24859989 z^6 + 16575 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (4224 + 67408 z + 591855 z^2 + 4815195 z^3 - 109064490 z^4 + 130207878 z^5 - 24859989 z^6 + 16575 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - 2 Sqrt[1 + z] (-2112 - 32120 z - 272085 z^2 - 2207205 z^3 + 18167070 z^4 - 12494034 z^5 + 944775 z^6 + 16575 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