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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=7/4





http://functions.wolfram.com/07.23.03.9649.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 7/4, 1, z] == -((1/(504735 Pi)) (2 Sqrt[1 + Sqrt[z]] ((-536639 + 3343462 z - 7647647 z^2 + 8413608 z^3 - 4527600 z^4 + 960960 z^5) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 8 (-3988 + 3988 Sqrt[z] - 215977 z + 215977 z^(3/2) + 916307 z^2 - 916307 z^(5/2) - 1407630 z^3 + 1407630 z^(7/2) + 951720 z^4 - 951720 z^(9/2) - 240240 z^5 + 240240 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