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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/07.23.03.9782.01









  


  










Input Form





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