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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=19/4





http://functions.wolfram.com/07.23.03.abs5.01









  


  








Input Form





Hypergeometric2F1[-(15/4), 19/4, 6, z] == (1/(985747455 Pi Sqrt[1 + Sqrt[z]] z^5)) (16384 ((-(-2048 - 2048 Sqrt[z] + 736 z + 736 z^(3/2) + 1085 z^2 + 1085 z^(5/2) + 2310 z^3 + 2310 z^(7/2) + 8925 z^4 + 8925 z^(9/2) - 81984 z^5 - 81984 z^(11/2) + 143808 z^6 + 143808 z^(13/2) - 99840 z^7 - 99840 z^(15/2) + 24960 z^8 + 24960 z^(17/2))) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-2048 + 1248 z + 1045 z^2 + 2065 z^3 + 8295 z^4 + 35931 z^5 - 216216 z^6 + 331920 z^7 - 212160 z^8 + 49920 z^9) 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