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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/07.23.03.9910.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 15/4, 2, z] == -((1/(4542615 Pi z)) (8 Sqrt[1 + Sqrt[z]] ((15295 - 1186134 z + 8467503 z^2 - 22744680 z^3 + 28987920 z^4 - 17784000 z^5 + 4243200 z^6) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-15295 + 15295 Sqrt[z] + 39009 z - 39009 z^(3/2) + 3732750 z^2 - 3732750 z^(5/2) - 19749360 z^3 + 19749360 z^(7/2) + 36709920 z^4 - 36709920 z^(9/2) - 29203200 z^5 + 29203200 z^(11/2) + 8486400 z^6 - 8486400 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