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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=-7/4, b>=a > For fixed z and a=-7/4, b=-7/4





http://functions.wolfram.com/07.23.03.aer1.01









  


  








Input Form





Hypergeometric2F1[-(7/4), -(7/4), 5/2, z] == (1/(38025 Pi^(3/2) z^(3/2))) (4 (-4 (-147 + 3087 z + 13723 z^2 + 3817 z^3) EllipticE[(1/2) (1 - Sqrt[z])] + 4 (-147 + 3087 z + 13723 z^2 + 3817 z^3) EllipticE[(1/2) (1 + Sqrt[z])] + (-294 - 147 Sqrt[z] + 6174 z + 12581 z^(3/2) + 27446 z^2 + 24431 z^(5/2) + 7634 z^3 + 4095 z^(7/2)) EllipticK[(1/2) (1 - Sqrt[z])] + (294 - 147 Sqrt[z] - 6174 z + 12581 z^(3/2) - 27446 z^2 + 24431 z^(5/2) - 7634 z^3 + 4095 z^(7/2)) 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