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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=9/4





http://functions.wolfram.com/07.23.03.9720.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 9/4, 2, z] == (1/(4542615 Pi z)) (8 (-2 Sqrt[1 - z] (33649 - 1888830 z + 9130653 z^2 - 18191168 z^3 + 18224640 z^4 - 9142272 z^5 + 1835008 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (33649 - 778413 z + 3127671 z^2 - 5570267 z^3 + 5139840 z^4 - 2414592 z^5 + 458752 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (33649 - 1888830 z + 9130653 z^2 - 18191168 z^3 + 18224640 z^4 - 9142272 z^5 + 1835008 z^6) 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