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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=19/4





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









  


  










Input Form





Hypergeometric2F1[-(11/4), 19/4, 3, z] == (1/(329175 Pi z^2)) (64 Sqrt[1 + Sqrt[z]] ((-28 - 371 z + 8424 z^2 - 20400 z^3 + 12480 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 4 (-7 + 7 Sqrt[z] - 98 z + 98 z^(3/2) - 540 z^2 + 540 z^(5/2) + 5520 z^3 - 5520 z^(7/2) - 6240 z^4 + 6240 z^(9/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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