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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=-11/4





http://functions.wolfram.com/07.23.03.9216.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(11/4), 6, z] == (1/(65887782355395 Pi z^5)) (16384 (2 Sqrt[1 - z] (22528 - 456544 z + 4892481 z^2 - 40456229 z^3 + 374960201 z^4 + 6046869051 z^5 + 9048919771 z^6 + 2830134761 z^7 + 68619771 z^8 - 2979999 z^9 + 98208 z^10) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (22528 - 473440 z + 5233305 z^2 - 44094215 z^3 + 404972645 z^4 - 2274597795 z^5 - 16205201885 z^6 - 15488783125 z^7 - 3057598665 z^8 - 751905 z^9 + 24552 z^10) EllipticK[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (22528 - 456544 z + 4892481 z^2 - 40456229 z^3 + 374960201 z^4 + 6046869051 z^5 + 9048919771 z^6 + 2830134761 z^7 + 68619771 z^8 - 2979999 z^9 + 98208 z^10) 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