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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=-13/4, b>=a > For fixed z and a=-13/4, b=15/4





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









  


  










Input Form





Hypergeometric2F1[-(13/4), 15/4, 5, z] == (1/(777251475 Pi z^4)) (4096 (-2 (-14976 + 8112 z + 10803 z^2 + 33150 z^3 - 542065 z^4 + 1042304 z^5 - 759808 z^6 + 196608 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] - 4 Sqrt[1 - z] (3744 - 1092 z - 2535 z^2 - 8775 z^3 + 38260 z^4 - 38656 z^5 + 12288 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (-14976 + 8112 z + 10803 z^2 + 33150 z^3 - 542065 z^4 + 1042304 z^5 - 759808 z^6 + 196608 z^7) 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