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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=-23/4, b>=a > For fixed z and a=-23/4, b=15/4





http://functions.wolfram.com/07.23.03.9905.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 15/4, 1, z] == -((1/(504735 Pi)) (2 Sqrt[1 + Sqrt[z]] ((-654629 + 8882253 z - 35047800 z^2 + 58833840 z^3 - 44740800 z^4 + 12729600 z^5) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + 2 (74947 - 74947 Sqrt[z] + 1040985 z - 1040985 z^(3/2) - 12045600 z^2 + 12045600 z^(5/2) + 33393360 z^3 - 33393360 z^(7/2) - 35193600 z^4 + 35193600 z^(9/2) + 12729600 z^5 - 12729600 z^(11/2)) 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