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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=-11/4, b>=a > For fixed z and a=-11/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 19/4, 4, z] == -((1/(2523675 Pi z^3)) (256 Sqrt[1 + Sqrt[z]] ((32 + 167 z + 1085 z^2 - 14424 z^3 + 25680 z^4 - 12480 z^5) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-32 + 32 Sqrt[z] - 191 z + 191 z^(3/2) - 1232 z^2 + 1232 z^(5/2) - 6240 z^3 + 6240 z^(7/2) + 32640 z^4 - 32640 z^(9/2) - 24960 z^5 + 24960 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