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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/07.23.03.9781.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 11/4, 2, z] == (1/(4542615 Pi z)) (8 Sqrt[1 + Sqrt[z]] ((-24035 + 1081254 z - 5619459 z^2 + 11920512 z^3 - 12576960 z^4 + 6589440 z^5 - 1372800 z^6) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (24035 - 24035 Sqrt[z] + 72426 z - 72426 z^(3/2) - 3231189 z^2 + 3231189 z^(5/2) + 11781240 z^3 - 11781240 z^(7/2) - 17020080 z^4 + 17020080 z^(9/2) + 11119680 z^5 - 11119680 z^(11/2) - 2745600 z^6 + 2745600 z^(13/2)) 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