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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=-17/4





http://functions.wolfram.com/07.23.03.9079.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(17/4), 2, -z] == -((1/(3011753745 Pi z)) (8 (1 + z)^(1/4) (2 (5311735 - 1451707878 z + 13489632393 z^2 - 27451465620 z^3 + 14893848729 z^4 - 1763101350 z^5 + 732615 z^6) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (-5311735 (1 + Sqrt[1 + z]) + 732615 z^6 (-1 + 2 Sqrt[1 + z]) + 135 z^5 (13060010 + 830297 Sqrt[1 + z]) - 27 z^4 (551624027 + 86033605 Sqrt[1 + z]) + 3 z (483902626 + 234251081 Sqrt[1 + z]) + 6 z^3 (4575244270 + 1142009713 Sqrt[1 + z]) - 3 z^2 (4496544131 + 1590098208 Sqrt[1 + z])) EllipticK[1/2 - 1/(2 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