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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=-15/4, b>=a > For fixed z and a=-15/4, b=11/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 11/4, 6, z] == (16384 ((-(-22528 - 22528 Sqrt[z] + 106656 z + 106656 z^(3/2) - 160545 z^2 - 160545 z^(5/2) + 26565 z^3 + 26565 z^(7/2) + 51975 z^4 + 51975 z^(9/2) - 186921 z^5 - 186921 z^(11/2) + 191982 z^6 + 191982 z^(13/2) - 88560 z^7 - 88560 z^(15/2) + 15840 z^8 + 15840 z^(17/2))) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-22528 + 112288 z - 185625 z^2 + 60060 z^3 + 53130 z^4 + 163044 z^5 - 451689 z^6 + 424680 z^7 - 185040 z^8 + 31680 z^9) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(2957242365 Pi Sqrt[1 + Sqrt[z]] z^5)








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