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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=23/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 23/4, 1, z] == (2 (4 (6877 - 74574 z + 220500 z^2 - 246480 z^3 + 93600 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (-1 + Sqrt[z]) (-5563 - 95400 z + 762480 z^2 - 1410240 z^3 + 748800 z^4) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(21945 Pi (-1 + Sqrt[z])^2 (1 + Sqrt[z])^(3/2))








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