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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=-23/4





http://functions.wolfram.com/07.23.03.8956.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(23/4), 4, z] == (1/(1375117699725 Pi z^3)) (256 (2 Sqrt[1 - z] (153824 - 5802049 z + 173595191 z^2 + 10855342379 z^3 + 58571827475 z^4 + 89954635421 z^5 + 45773145509 z^6 + 7092995129 z^7 + 219345521 z^8) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (153824 - 5802049 z + 173595191 z^2 + 10855342379 z^3 + 58571827475 z^4 + 89954635421 z^5 + 45773145509 z^6 + 7092995129 z^7 + 219345521 z^8) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (-153824 + 5917417 z - 177935912 z^2 + 17558044 z^3 + 37708751080 z^4 + 149324363734 z^5 + 168228572008 z^6 + 63001161052 z^7 + 7021422136 z^8 + 140821065 z^9) EllipticK[(1/2) (1 - 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