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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=-19/4, b>=a > For fixed z and a=-19/4, b=-15/4





http://functions.wolfram.com/07.23.03.a932.01









  


  










Input Form





Hypergeometric2F1[-(19/4), -(15/4), 6, z] == (1/(82232038443555 Pi z^5)) (16384 (2 Sqrt[1 - z] (22528 - 467808 z + 5169857 z^2 - 44490677 z^3 + 434948745 z^4 + 7761695627 z^5 + 13555779643 z^6 + 5835969273 z^7 + 555859067 z^8 + 2470545 z^9) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (22528 - 467808 z + 5169857 z^2 - 44490677 z^3 + 434948745 z^4 + 7761695627 z^5 + 13555779643 z^6 + 5835969273 z^7 + 555859067 z^8 + 2470545 z^9) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (-22528 + 484704 z - 5519129 z^2 + 48335903 z^3 - 467967885 z^4 + 2599636123 z^5 + 21467936021 z^6 + 24772751709 z^7 + 7341227857 z^8 + 457050825 z^9) EllipticK[(1/2) (1 - Sqrt[1 - 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