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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=3/4





http://functions.wolfram.com/07.23.03.9533.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 3/4, 3, -z] == (1/(140821065 Pi z^2)) (64 (1 + z)^(1/4) (4 (-67298 - 639331 z + 896184 z^2 + 1120230 z^3 + 926706 z^4 + 481509 z^5 + 142800 z^6 + 18480 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - 2 (-67298 - 639331 z + 896184 z^2 + 1120230 z^3 + 926706 z^4 + 481509 z^5 + 142800 z^6 + 18480 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (134596 + 1177715 z + 1740777 z^2 + 2636961 z^3 + 2583471 z^4 + 1544760 z^5 + 515760 z^6 + 73920 z^7) 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