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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=7/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 7/4, 3, z] == (1/(504735 Pi Sqrt[1 + Sqrt[z]] z^2)) (64 ((-(-1540 - 1540 Sqrt[z] + 1925 z + 1925 z^(3/2) - 9082 z^2 - 9082 z^(5/2) + 12389 z^3 + 12389 z^(7/2) - 7420 z^4 - 7420 z^(9/2) + 1680 z^5 + 1680 z^(11/2))) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + 2 (-770 + 1155 z + 3159 z^2 - 11439 z^3 + 14055 z^4 - 7840 z^5 + 1680 z^6) 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