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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=1/4, b>=a > For fixed z and a=1/4, b=19/4





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









  


  










Input Form





Hypergeometric2F1[1/4, 19/4, 6, z] == -((1/(5069295 Pi z^5)) (16384 Sqrt[1 + Sqrt[z]] ((-2048 + 224 z + 189 z^2 + 200 z^3 + 280 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (2048 - 2048 Sqrt[z] + 1312 z - 1312 z^(3/2) + 1035 z^2 - 1035 z^(5/2) + 820 z^3 - 820 z^(7/2) + 560 z^4 - 560 z^(9/2)) 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