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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=-3/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), -(3/4), 5, -z] == (1/(812227791375 Pi z^4)) (4096 (1 + z)^(1/4) (-8 (21216 + 273156 z + 1833858 z^2 + 10465455 z^3 - 126712630 z^4 + 44759022 z^5 + 4760602 z^6 + 610071 z^7 + 43890 z^8) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (84864 + 1028976 z + 6573645 z^2 + 37048440 z^3 - 137314210 z^4 + 8479548 z^5 + 1139677 z^6 + 87780 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + 4 (21216 + 273156 z + 1833858 z^2 + 10465455 z^3 - 126712630 z^4 + 44759022 z^5 + 4760602 z^6 + 610071 z^7 + 43890 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