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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=-19/4, b>=a > For fixed z and a=-19/4, b=-13/4





http://functions.wolfram.com/07.23.03.a946.01









  


  










Input Form





Hypergeometric2F1[-(19/4), -(13/4), 3, z] == (1/(3011753745 Pi z^2)) (64 Sqrt[1 + Sqrt[z]] ((-54340 + 1915485 z + 160301451 z^2 + 614350722 z^3 + 489250962 z^4 + 76369905 z^5 + 43095 z^6) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 2 (-27170 + 27170 Sqrt[z] + 937365 z - 937365 z^(3/2) + 33791913 z^2 - 33791913 z^(5/2) + 87530802 z^3 - 87530802 z^(7/2) + 42867360 z^4 - 42867360 z^(9/2) + 2714985 z^5 - 2714985 z^(11/2) - 43095 z^6 + 43095 z^(13/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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