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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=5/4





http://functions.wolfram.com/07.23.03.9598.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 5/4, 3, z] == (1/(422463195 Pi z^2)) (64 (-2 Sqrt[1 - z] (-672980 + 3533145 z - 15976539 z^2 + 29879179 z^3 - 31684341 z^4 + 19725696 z^5 - 6748160 z^6 + 983040 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] + 4 (-168245 + 1009470 z - 1344276 z^2 + 2294998 z^3 - 2277423 z^4 + 1343556 z^5 - 439040 z^6 + 61440 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-672980 + 3533145 z - 15976539 z^2 + 29879179 z^3 - 31684341 z^4 + 19725696 z^5 - 6748160 z^6 + 983040 z^7) 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