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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=-9/4, b>=a > For fixed z and a=-9/4, b=-9/4





http://functions.wolfram.com/07.23.03.ae10.01









  


  








Input Form





Hypergeometric2F1[-(9/4), -(9/4), 5/2, z] == (1/(88935 Pi^(3/2) z^(3/2))) ((2 Sqrt[z] (45 + 20985 z + 37767 z^2 + 6739 z^3) EllipticE[(1/2) (1 - Sqrt[z])] + 2 Sqrt[z] (45 + 20985 z + 37767 z^2 + 6739 z^3) EllipticE[(1/2) (1 + Sqrt[z])] - (-90 + 45 Sqrt[z] + 2565 z + 20985 z^(3/2) + 29325 z^2 + 37767 z^(5/2) + 30271 z^3 + 6739 z^(7/2) + 3465 z^4) EllipticK[(1/2) (1 - Sqrt[z])] + (-90 - 45 Sqrt[z] + 2565 z - 20985 z^(3/2) + 29325 z^2 - 37767 z^(5/2) + 30271 z^3 - 6739 z^(7/2) + 3465 z^4) EllipticK[(1/2) (1 + Sqrt[z])]) Gamma[1/4]^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