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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=-7/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), -(7/4), 3, z] == (1/(57432375 Pi z^2)) (64 Sqrt[1 + Sqrt[z]] ((-2652 + 61659 z + 2789760 z^2 + 4754210 z^3 + 831600 z^4 - 48741 z^5 + 2772 z^6) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 2 (-1326 + 1326 Sqrt[z] + 29835 z - 29835 z^(3/2) + 519720 z^2 - 519720 z^(5/2) + 489490 z^3 - 489490 z^(7/2) + 11550 z^4 - 11550 z^(9/2) - 693 z^5 + 693 z^(11/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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