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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=19/4





http://functions.wolfram.com/07.23.03.a7qx.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, 2, z] == -((1/(13627845 Pi z)) (8 Sqrt[1 + Sqrt[z]] ((33649 - 3787827 z + 34616562 z^2 - 113124336 z^3 + 169674336 z^4 - 119658240 z^5 + 32248320 z^6) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-33649 + 33649 Sqrt[z] + 355629 z - 355629 z^(3/2) + 11959596 z^2 - 11959596 z^(5/2) - 86812752 z^3 + 86812752 z^(7/2) + 200977920 z^4 - 200977920 z^(9/2) - 190944000 z^5 + 190944000 z^(11/2) + 64496640 z^6 - 64496640 z^(13/2)) 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