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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=13/4





http://functions.wolfram.com/07.23.03.9860.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 13/4, 5, z] == (1/(82380323025 Pi z^4)) (4096 (-2 Sqrt[1 - z] (-615296 + 1153680 z + 1398837 z^2 + 3533145 z^3 - 58957761 z^4 + 159579363 z^5 - 205891200 z^6 + 145065984 z^7 - 54067200 z^8 + 8388608 z^9) EllipticE[(1/2) (1 - Sqrt[1 - z])] + 8 (-76912 + 201894 z + 72105 z^2 + 302841 z^3 - 2688303 z^4 + 6329481 z^5 - 7511682 z^6 + 4974720 z^7 - 1763328 z^8 + 262144 z^9) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-615296 + 1153680 z + 1398837 z^2 + 3533145 z^3 - 58957761 z^4 + 159579363 z^5 - 205891200 z^6 + 145065984 z^7 - 54067200 z^8 + 8388608 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