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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=-11/4





http://functions.wolfram.com/07.23.03.9200.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(11/4), 2, z] == (1/(13627845 Pi z)) (8 (2 Sqrt[1 - z] (33649 + 3585933 z + 16182162 z^2 + 11863378 z^3 + 627165 z^4 - 46431 z^5 + 2464 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (33649 + 153735 z - 13233006 z^2 - 36091058 z^3 - 15348795 z^4 - 11781 z^5 + 616 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (33649 + 3585933 z + 16182162 z^2 + 11863378 z^3 + 627165 z^4 - 46431 z^5 + 2464 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