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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=-11/4, b>=a > For fixed z and a=-11/4, b=21/4





http://functions.wolfram.com/07.23.03.adp0.01









  


  








Input Form





Hypergeometric2F1[-(11/4), 21/4, 6, z] == (1/(93364366095 Pi z^5)) (16384 (2 Sqrt[1 - z] (-157696 - 165088 z - 218295 z^2 - 381997 z^3 - 1148224 z^4 + 15736320 z^5 - 22773760 z^6 + 9175040 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (-157696 - 46816 z - 83391 z^2 - 201586 z^3 - 837991 z^4 + 5239680 z^5 - 6338560 z^6 + 2293760 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (-157696 - 165088 z - 218295 z^2 - 381997 z^3 - 1148224 z^4 + 15736320 z^5 - 22773760 z^6 + 9175040 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])]))








Standard Form





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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02