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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=-7/4





http://functions.wolfram.com/07.23.03.ad0b.01









  


  








Input Form





Hypergeometric2F1[-(11/4), -(7/4), -(3/2), z] == (1/(12 Pi^(3/2))) ((-2 Sqrt[z] (-6 + 17 z + 21 z^2) EllipticE[(1/2) (1 - Sqrt[z])] + 2 Sqrt[z] (-6 + 17 z + 21 z^2) EllipticE[(1/2) (1 + Sqrt[z])] + (12 - 6 Sqrt[z] - 43 z + 17 z^(3/2) + 63 z^2 + 21 z^(5/2)) EllipticK[(1/2) (1 - Sqrt[z])] + (12 + 6 Sqrt[z] - 43 z - 17 z^(3/2) + 63 z^2 - 21 z^(5/2)) EllipticK[(1/2) (1 + Sqrt[z])]) Gamma[3/4]^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