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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=19/4





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









  


  








Input Form





Hypergeometric2F1[19/4, 19/4, 6, z] == (1/(266805 Pi (-1 + z)^4 z^5)) (16384 (2 (2048 - 8096 z + 11955 z^2 - 7794 z^3 + 1887 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (2048 (1 + Sqrt[1 - z]) - 32 (253 + 237 Sqrt[1 - z]) z + 3 (3985 + 3433 Sqrt[1 - z]) z^2 - 18 (433 + 331 Sqrt[1 - z]) z^3 + 3 (629 + 385 Sqrt[1 - z]) z^4) 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