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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=-17/4, b>=a > For fixed z and a=-17/4, b=7/4





http://functions.wolfram.com/07.23.03.aamj.01









  


  










Input Form





Hypergeometric2F1[-(17/4), 7/4, 6, z] == (1/(12324987675 Pi z^5)) (16384 (2 (-34816 + 259488 z - 794019 z^2 + 1178032 z^3 - 417690 z^4 + 1810524 z^5 - 1896187 z^6 + 1060236 z^7 - 319488 z^8 + 40960 z^9) EllipticE[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (34816 - 250784 z + 735403 z^2 - 1021020 z^3 + 232050 z^4 - 325404 z^5 + 213691 z^6 - 72512 z^7 + 10240 z^8) EllipticK[(1/2) (1 - Sqrt[1 - z])] - (-34816 + 259488 z - 794019 z^2 + 1178032 z^3 - 417690 z^4 + 1810524 z^5 - 1896187 z^6 + 1060236 z^7 - 319488 z^8 + 40960 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