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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=-21/4, b>=a > For fixed z and a=-21/4, b=-19/4





http://functions.wolfram.com/07.23.03.a861.01









  


  










Input Form





Hypergeometric2F1[-(21/4), -(19/4), 1, -z] == -((1/(14549535 Pi)) (2 (1 + z)^(1/4) (2 (-31730711 + 577172397 z - 1794908262 z^2 + 1376268250 z^3 - 241865715 z^4 + 4586505 z^5) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (31730711 - 4586505 z^5 + 17181176 Sqrt[1 + z] + 105 z^4 (2303483 + 197944 Sqrt[1 + z]) - 70 z^3 (19660975 + 3489712 Sqrt[1 + z]) + 42 z^2 (42735911 + 11858760 Sqrt[1 + z]) - 3 z (192390799 + 75439968 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