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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=-1/4





http://functions.wolfram.com/07.23.03.9434.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(1/4), 2, z] == (1/(4542615 Pi Sqrt[1 + Sqrt[z]] z)) (8 ((33649 + 33649 Sqrt[z] + 1686936 z + 1686936 z^(3/2) + 191238 z^2 + 191238 z^(5/2) - 116124 z^3 - 116124 z^(7/2) + 51489 z^4 + 51489 z^(9/2) - 13860 z^5 - 13860 z^(11/2) + 1680 z^6 + 1680 z^(13/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (33649 + 542870 z - 836178 z^2 + 430392 z^3 - 255063 z^4 + 109530 z^5 - 28560 z^6 + 3360 z^7) 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