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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=11/4





http://functions.wolfram.com/07.23.03.abk1.01









  


  








Input Form





Hypergeometric2F1[-(15/4), 11/4, 1, z] == -((1/(1155 Pi)) (2 Sqrt[1 + Sqrt[z]] (2 (-641 + 3747 z - 5760 z^2 + 2640 z^3) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (127 - 127 Sqrt[z] + 4440 z - 4440 z^(3/2) - 15120 z^2 + 15120 z^(5/2) + 10560 z^3 - 10560 z^(7/2)) 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