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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=-3/4





http://functions.wolfram.com/07.23.03.aft2.01









  


  








Input Form





Hypergeometric2F1[-(5/4), -(3/4), 6, z] == (1/(11712375675 Pi z^5)) (16384 Sqrt[1 + Sqrt[z]] ((2048 - 18016 z + 73235 z^2 - 190540 z^3 + 422450 z^4 + 1444884 z^5 + 100947 z^6) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-2048 + 2048 Sqrt[z] + 16480 z - 16480 z^(3/2) - 61115 z^2 + 61115 z^(5/2) + 146545 z^3 - 146545 z^(7/2) - 319025 z^4 + 319025 z^(9/2) - 239589 z^5 + 239589 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