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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=-5/4





http://functions.wolfram.com/07.23.03.ad2g.01









  


  










Input Form





Hypergeometric2F1[-(11/4), -(5/4), 4, z] == (1/(334639305 Pi z^3)) (256 Sqrt[1 + Sqrt[z]] ((2464 - 29645 z + 226996 z^2 + 3462258 z^3 + 1839636 z^4 + 3315 z^5) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-2464 + 2464 Sqrt[z] + 27797 z - 27797 z^(3/2) - 206437 z^2 + 206437 z^(5/2) - 999567 z^3 + 999567 z^(7/2) - 202215 z^4 + 202215 z^(9/2) + 6630 z^5 - 6630 z^(11/2)) 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